Octonion (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Octonion" in English language version.

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17doi.org

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9harvard.edu

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3ams.org

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2zbmath.org

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1ieee.org

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mathscinet.ams.org

(Baez 2002, p. 1) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
(Baez 2002, p. 6) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Baez (2002), pp. 37–38 Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512

archive.org

Hamilton (1848), "Note, by Sir W. R. Hamilton, respecting the researches of John T. Graves, Esq.", Transactions of the Royal Irish Academy, 21: 338–341

arxiv.org

(Baez 2002, p. 1) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Schray, Jörg; Manogue, Corinne A. (January 1996), "Octonionic representations of Clifford algebras and triality", Foundations of Physics, 26 (1): 17–70, arXiv:hep-th/9407179, Bibcode:1996FoPh...26...17S, doi:10.1007/BF02058887, S2CID 119604596
Available as Schray, Jörg; Manogue, Corinne A. (1996), "Octonionic representations of Clifford algebras and triality", Foundations of Physics, 26 (1): 17–70, arXiv:hep-th/9407179, Bibcode:1996FoPh...26...17S, doi:10.1007/BF02058887, in particular Figure 1 (.png), arXiv (image)
(Baez 2002, p. 6) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Baez (2002), pp. 37–38 Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Baez, John C.; Huerta, John (2010), "Division Algebras and Supersymmetry I", in Doran, R.; Friedman, G.; Rosenberg, J. (eds.), Superstrings, Geometry, Topology, and C*-algebras, American Mathematical Society, arXiv:0909.0551
Furey, Cohl (2012-07-20), "Unified theory of ideals", Physical Review D, 86 (2): 025024, arXiv:1002.1497, Bibcode:2012PhRvD..86b5024F, doi:10.1103/PhysRevD.86.025024, S2CID 118458623
Furey, Cohl (2018-10-10), "Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra", Physics Letters B, 785: 84–89, arXiv:1910.08395, Bibcode:2018PhLB..785...84F, doi:10.1016/j.physletb.2018.08.032, S2CID 126205768
Stoica, O.C. (2018), "Leptons, quarks, and gauge from the complex Clifford algebra $\mathbb {C} \ell _{6}$ ", Advances in Applied Clifford Algebras, 28: 52, arXiv:1702.04336, doi:10.1007/s00006-018-0869-4, S2CID 125913482
Gresnigt, Niels G. (2017-11-21), Quantum groups and braid groups as fundamental symmetries, European Physical Society conference on High Energy Physics, 5–12 July 2017, Venice, Italy, arXiv:1711.09011
Dixon, Geoffrey M. (1994), Division Algebras: Octonions, quaternions, complex numbers, and the algebraic design of physics, Springer-Verlag, doi:10.1007/978-1-4757-2315-1, ISBN 978-0-7923-2890-2, OCLC 30399883
Baez, John C. (2011-01-29), "The Three-Fold Way (part 4)", The n-Category Café, retrieved 2018-11-02
Borsten, Leron; Dahanayake, Duminda; Duff, Michael J.; Ebrahim, Hajar; Rubens, Williams (2009), "Black holes, qubits and octonions", Physics Reports, 471 (3–4): 113–219, arXiv:0809.4685, Bibcode:2009PhR...471..113B, doi:10.1016/j.physrep.2008.11.002, S2CID 118488578
Stacey, Blake C. (2017), "Sporadic SICs and the Normed Division Algebras", Foundations of Physics, 47 (8): 1060–1064, arXiv:1605.01426, Bibcode:2017FoPh...47.1060S, doi:10.1007/s10701-017-0087-2, S2CID 118438232
Jacome, Roman; Mishra, Kumar Vijay; Sadler, Brian M.; Arguello, Henry (2024), "Octonion Phase Retrieval", IEEE Signal Processing Letters, 31: 1615, arXiv:2308.15784, Bibcode:2024ISPL...31.1615J, doi:10.1109/LSP.2024.3411934

books.google.com

Sabadini, Irene; Shapiro, Michael; Sommen, Franciscus (2009-04-21), Hypercomplex Analysis, Springer Science & Business Media, ISBN 978-3-7643-9893-4
Gentili, G.; Stoppato, C.; Struppa, D.C.; Vlacci, F. (2009), "Recent developments for regular functions of a hypercomplex variable", in Sabadini, I.; Shapiro, M.; Sommen, F. (eds.), Hypercomplex Analysis, Birkhäuser, p. 168, ISBN 978-3-7643-9892-7 – via Google books
Sabinin, L.V.; Sbitneva, L.; Shestakov, I.P. (2006), "§17.2 Octonion algebra and its regular bimodule representation", Non-Associative Algebra and its Applications, Boca Raton, FL: CRC Press, p. 235, ISBN 0-8247-2669-3 – via Google books
Abłamowicz, Rafał; Lounesto, Pertti; Parra, Josep M. (1996), "§ Four ocotonionic basis numberings", Clifford Algebras with Numeric and Symbolic Computations, Birkhäuser, p. 202, ISBN 0-8176-3907-1 – via Google books
Dray, Tevian & Manogue, Corinne A. (2004), "Chapter 29: Using octonions to describe fundamental particles", in Abłamowicz, Rafał (ed.), Clifford Algebras: Applications to mathematics, physics, and engineering, Birkhäuser, Figure 29.1: Representation of multiplication table on projective plane. p. 452, ISBN 0-8176-3525-4 – via Google books

cern.ch

cds.cern.ch

Kugo, Taichiro; Townsend, Paul (1983-07-11), "Supersymmetry and the division algebras", Nuclear Physics B, 221 (2): 357–380, Bibcode:1983NuPhB.221..357K, doi:10.1016/0550-3213(83)90584-9

doi.org

(Baez 2002, p. 1) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
(Graves 1845) Graves, John T. (1845), "On a Connection between the General Theory of Normal Couples and the Theory of Complete Quadratic Functions of Two Variables", Phil. Mag., 26: 315–320, doi:10.1080/14786444508645136
Cayley, Arthur (1845), "On Jacobi's Elliptic functions, in reply to the Rev. Brice Bronwin; and on Quaternions", Philosophical Magazine, 26 (172): 208–211, doi:10.1080/14786444508645107. Appendix reprinted in The Collected Mathematical Papers, Johnson Reprint Co., New York, 1963, p. 127
Schray, Jörg; Manogue, Corinne A. (January 1996), "Octonionic representations of Clifford algebras and triality", Foundations of Physics, 26 (1): 17–70, arXiv:hep-th/9407179, Bibcode:1996FoPh...26...17S, doi:10.1007/BF02058887, S2CID 119604596
Available as Schray, Jörg; Manogue, Corinne A. (1996), "Octonionic representations of Clifford algebras and triality", Foundations of Physics, 26 (1): 17–70, arXiv:hep-th/9407179, Bibcode:1996FoPh...26...17S, doi:10.1007/BF02058887, in particular Figure 1 (.png), arXiv (image)
(Baez 2002, p. 6) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Baez (2002), pp. 37–38 Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Wilson, Robert A. (2009-09-15), "Octonions and the Leech lattice" (PDF), Journal of Algebra, 322 (6): 2186–2190, doi:10.1016/j.jalgebra.2009.03.021
Wilson, Robert A. (2010-08-13), "Conway's group and octonions" (PDF), Journal of Group Theory, 14: 1–8, doi:10.1515/jgt.2010.038, S2CID 16590883
Günaydin, M.; Gürsey, F. (1973), "Quark structure and octonions", Journal of Mathematical Physics, 14 (11): 1651–1667, Bibcode:1973JMP....14.1651G, doi:10.1063/1.1666240
Günaydin, M.; Gürsey, F. (1974), "Quark statistics and octonions", Physical Review D, 9 (12): 3387–3391, Bibcode:1974PhRvD...9.3387G, doi:10.1103/PhysRevD.9.3387
Kugo, Taichiro; Townsend, Paul (1983-07-11), "Supersymmetry and the division algebras", Nuclear Physics B, 221 (2): 357–380, Bibcode:1983NuPhB.221..357K, doi:10.1016/0550-3213(83)90584-9
Furey, Cohl (2012-07-20), "Unified theory of ideals", Physical Review D, 86 (2): 025024, arXiv:1002.1497, Bibcode:2012PhRvD..86b5024F, doi:10.1103/PhysRevD.86.025024, S2CID 118458623
Furey, Cohl (2018-10-10), "Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra", Physics Letters B, 785: 84–89, arXiv:1910.08395, Bibcode:2018PhLB..785...84F, doi:10.1016/j.physletb.2018.08.032, S2CID 126205768
Stoica, O.C. (2018), "Leptons, quarks, and gauge from the complex Clifford algebra $\mathbb {C} \ell _{6}$ ", Advances in Applied Clifford Algebras, 28: 52, arXiv:1702.04336, doi:10.1007/s00006-018-0869-4, S2CID 125913482
Gresnigt, Niels G. (2017-11-21), Quantum groups and braid groups as fundamental symmetries, European Physical Society conference on High Energy Physics, 5–12 July 2017, Venice, Italy, arXiv:1711.09011
Dixon, Geoffrey M. (1994), Division Algebras: Octonions, quaternions, complex numbers, and the algebraic design of physics, Springer-Verlag, doi:10.1007/978-1-4757-2315-1, ISBN 978-0-7923-2890-2, OCLC 30399883
Baez, John C. (2011-01-29), "The Three-Fold Way (part 4)", The n-Category Café, retrieved 2018-11-02
Borsten, Leron; Dahanayake, Duminda; Duff, Michael J.; Ebrahim, Hajar; Rubens, Williams (2009), "Black holes, qubits and octonions", Physics Reports, 471 (3–4): 113–219, arXiv:0809.4685, Bibcode:2009PhR...471..113B, doi:10.1016/j.physrep.2008.11.002, S2CID 118488578
Stacey, Blake C. (2017), "Sporadic SICs and the Normed Division Algebras", Foundations of Physics, 47 (8): 1060–1064, arXiv:1605.01426, Bibcode:2017FoPh...47.1060S, doi:10.1007/s10701-017-0087-2, S2CID 118438232
Jacome, Roman; Mishra, Kumar Vijay; Sadler, Brian M.; Arguello, Henry (2024), "Octonion Phase Retrieval", IEEE Signal Processing Letters, 31: 1615, arXiv:2308.15784, Bibcode:2024ISPL...31.1615J, doi:10.1109/LSP.2024.3411934
Wu, J.; Sun, Y.; Wang and, M.; Liu, M. (June 2020), "Hand-Eye Calibration: 4-D Procrustes Analysis Approach", IEEE Transactions on Instrumentation and Measurement, 69 (6): 2966–81, Bibcode:2020ITIM...69.2966W, doi:10.1109/TIM.2019.2930710, S2CID 201245901
Wu, J.; Xu, L.; Wu, F.; Kong, Y.; Senhadji, L.; Shu, H. (2020), "Deep octonion networks", Neurocomputing, 397: 179–191, doi:10.1016/j.neucom.2020.02.053, S2CID 84186686, hal-02865295
Bojesomo, Alabi; Liatsis, Panos; Almarzouqi, Hasan (2023), "Marine Debris Segmentation Using a Parameter Efficient Octonion-Based Architecture", IEEE Geoscience and Remote Sensing Letters, 20: 1–5, Bibcode:2023IGRSL..2021177B, doi:10.1109/lgrs.2023.3321177

harvard.edu

ui.adsabs.harvard.edu

Schray, Jörg; Manogue, Corinne A. (January 1996), "Octonionic representations of Clifford algebras and triality", Foundations of Physics, 26 (1): 17–70, arXiv:hep-th/9407179, Bibcode:1996FoPh...26...17S, doi:10.1007/BF02058887, S2CID 119604596
Available as Schray, Jörg; Manogue, Corinne A. (1996), "Octonionic representations of Clifford algebras and triality", Foundations of Physics, 26 (1): 17–70, arXiv:hep-th/9407179, Bibcode:1996FoPh...26...17S, doi:10.1007/BF02058887, in particular Figure 1 (.png), arXiv (image)
Günaydin, M.; Gürsey, F. (1973), "Quark structure and octonions", Journal of Mathematical Physics, 14 (11): 1651–1667, Bibcode:1973JMP....14.1651G, doi:10.1063/1.1666240
Günaydin, M.; Gürsey, F. (1974), "Quark statistics and octonions", Physical Review D, 9 (12): 3387–3391, Bibcode:1974PhRvD...9.3387G, doi:10.1103/PhysRevD.9.3387
Kugo, Taichiro; Townsend, Paul (1983-07-11), "Supersymmetry and the division algebras", Nuclear Physics B, 221 (2): 357–380, Bibcode:1983NuPhB.221..357K, doi:10.1016/0550-3213(83)90584-9
Furey, Cohl (2012-07-20), "Unified theory of ideals", Physical Review D, 86 (2): 025024, arXiv:1002.1497, Bibcode:2012PhRvD..86b5024F, doi:10.1103/PhysRevD.86.025024, S2CID 118458623
Furey, Cohl (2018-10-10), "Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra", Physics Letters B, 785: 84–89, arXiv:1910.08395, Bibcode:2018PhLB..785...84F, doi:10.1016/j.physletb.2018.08.032, S2CID 126205768
Stoica, O.C. (2018), "Leptons, quarks, and gauge from the complex Clifford algebra $\mathbb {C} \ell _{6}$ ", Advances in Applied Clifford Algebras, 28: 52, arXiv:1702.04336, doi:10.1007/s00006-018-0869-4, S2CID 125913482
Gresnigt, Niels G. (2017-11-21), Quantum groups and braid groups as fundamental symmetries, European Physical Society conference on High Energy Physics, 5–12 July 2017, Venice, Italy, arXiv:1711.09011
Dixon, Geoffrey M. (1994), Division Algebras: Octonions, quaternions, complex numbers, and the algebraic design of physics, Springer-Verlag, doi:10.1007/978-1-4757-2315-1, ISBN 978-0-7923-2890-2, OCLC 30399883
Baez, John C. (2011-01-29), "The Three-Fold Way (part 4)", The n-Category Café, retrieved 2018-11-02
Borsten, Leron; Dahanayake, Duminda; Duff, Michael J.; Ebrahim, Hajar; Rubens, Williams (2009), "Black holes, qubits and octonions", Physics Reports, 471 (3–4): 113–219, arXiv:0809.4685, Bibcode:2009PhR...471..113B, doi:10.1016/j.physrep.2008.11.002, S2CID 118488578
Stacey, Blake C. (2017), "Sporadic SICs and the Normed Division Algebras", Foundations of Physics, 47 (8): 1060–1064, arXiv:1605.01426, Bibcode:2017FoPh...47.1060S, doi:10.1007/s10701-017-0087-2, S2CID 118438232
Jacome, Roman; Mishra, Kumar Vijay; Sadler, Brian M.; Arguello, Henry (2024), "Octonion Phase Retrieval", IEEE Signal Processing Letters, 31: 1615, arXiv:2308.15784, Bibcode:2024ISPL...31.1615J, doi:10.1109/LSP.2024.3411934
Wu, J.; Sun, Y.; Wang and, M.; Liu, M. (June 2020), "Hand-Eye Calibration: 4-D Procrustes Analysis Approach", IEEE Transactions on Instrumentation and Measurement, 69 (6): 2966–81, Bibcode:2020ITIM...69.2966W, doi:10.1109/TIM.2019.2930710, S2CID 201245901
Bojesomo, Alabi; Liatsis, Panos; Almarzouqi, Hasan (2023), "Marine Debris Segmentation Using a Parameter Efficient Octonion-Based Architecture", IEEE Geoscience and Remote Sensing Letters, 20: 1–5, Bibcode:2023IGRSL..2021177B, doi:10.1109/lgrs.2023.3321177

ieee.org

ieeexplore.ieee.org

Jacome, Roman; Mishra, Kumar Vijay; Sadler, Brian M.; Arguello, Henry (2024), "Octonion Phase Retrieval", IEEE Signal Processing Letters, 31: 1615, arXiv:2308.15784, Bibcode:2024ISPL...31.1615J, doi:10.1109/LSP.2024.3411934

kaist.ac.kr

mathsci.kaist.ac.kr

"Ensembles de nombre" (PDF) (in French), Forum Futura-Science, 6 September 2011, retrieved 11 October 2024

newscientist.com

"Beyond space and time: 8D – Surfer's paradise", New Scientist

qmul.ac.uk

maths.qmul.ac.uk

Wilson, Robert A. (2009-09-15), "Octonions and the Leech lattice" (PDF), Journal of Algebra, 322 (6): 2186–2190, doi:10.1016/j.jalgebra.2009.03.021
Wilson, Robert A. (2010-08-13), "Conway's group and octonions" (PDF), Journal of Group Theory, 14: 1–8, doi:10.1515/jgt.2010.038, S2CID 16590883

quantamagazine.org

Wolchover, Natalie (2018-07-20), "The peculiar math that could underlie the laws of nature", Quanta Magazine, retrieved 2018-10-30

semanticscholar.org

api.semanticscholar.org

(Baez 2002, p. 1) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Schray, Jörg; Manogue, Corinne A. (January 1996), "Octonionic representations of Clifford algebras and triality", Foundations of Physics, 26 (1): 17–70, arXiv:hep-th/9407179, Bibcode:1996FoPh...26...17S, doi:10.1007/BF02058887, S2CID 119604596
Available as Schray, Jörg; Manogue, Corinne A. (1996), "Octonionic representations of Clifford algebras and triality", Foundations of Physics, 26 (1): 17–70, arXiv:hep-th/9407179, Bibcode:1996FoPh...26...17S, doi:10.1007/BF02058887, in particular Figure 1 (.png), arXiv (image)
(Baez 2002, p. 6) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Baez (2002), pp. 37–38 Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Wilson, Robert A. (2010-08-13), "Conway's group and octonions" (PDF), Journal of Group Theory, 14: 1–8, doi:10.1515/jgt.2010.038, S2CID 16590883
Furey, Cohl (2012-07-20), "Unified theory of ideals", Physical Review D, 86 (2): 025024, arXiv:1002.1497, Bibcode:2012PhRvD..86b5024F, doi:10.1103/PhysRevD.86.025024, S2CID 118458623
Furey, Cohl (2018-10-10), "Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra", Physics Letters B, 785: 84–89, arXiv:1910.08395, Bibcode:2018PhLB..785...84F, doi:10.1016/j.physletb.2018.08.032, S2CID 126205768
Stoica, O.C. (2018), "Leptons, quarks, and gauge from the complex Clifford algebra $\mathbb {C} \ell _{6}$ ", Advances in Applied Clifford Algebras, 28: 52, arXiv:1702.04336, doi:10.1007/s00006-018-0869-4, S2CID 125913482
Gresnigt, Niels G. (2017-11-21), Quantum groups and braid groups as fundamental symmetries, European Physical Society conference on High Energy Physics, 5–12 July 2017, Venice, Italy, arXiv:1711.09011
Dixon, Geoffrey M. (1994), Division Algebras: Octonions, quaternions, complex numbers, and the algebraic design of physics, Springer-Verlag, doi:10.1007/978-1-4757-2315-1, ISBN 978-0-7923-2890-2, OCLC 30399883
Baez, John C. (2011-01-29), "The Three-Fold Way (part 4)", The n-Category Café, retrieved 2018-11-02
Borsten, Leron; Dahanayake, Duminda; Duff, Michael J.; Ebrahim, Hajar; Rubens, Williams (2009), "Black holes, qubits and octonions", Physics Reports, 471 (3–4): 113–219, arXiv:0809.4685, Bibcode:2009PhR...471..113B, doi:10.1016/j.physrep.2008.11.002, S2CID 118488578
Stacey, Blake C. (2017), "Sporadic SICs and the Normed Division Algebras", Foundations of Physics, 47 (8): 1060–1064, arXiv:1605.01426, Bibcode:2017FoPh...47.1060S, doi:10.1007/s10701-017-0087-2, S2CID 118438232
Wu, J.; Sun, Y.; Wang and, M.; Liu, M. (June 2020), "Hand-Eye Calibration: 4-D Procrustes Analysis Approach", IEEE Transactions on Instrumentation and Measurement, 69 (6): 2966–81, Bibcode:2020ITIM...69.2966W, doi:10.1109/TIM.2019.2930710, S2CID 201245901
Wu, J.; Xu, L.; Wu, F.; Kong, Y.; Senhadji, L.; Shu, H. (2020), "Deep octonion networks", Neurocomputing, 397: 179–191, doi:10.1016/j.neucom.2020.02.053, S2CID 84186686, hal-02865295

ucr.edu

math.ucr.edu

(Baez 2002, p. 1) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
(Baez 2002, p. 6) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Baez (2002), pp. 37–38 Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512

uni-jena.de

zs.thulb.uni-jena.de

(Graves 1845) Graves, John T. (1845), "On a Connection between the General Theory of Normal Couples and the Theory of Complete Quadratic Functions of Two Variables", Phil. Mag., 26: 315–320, doi:10.1080/14786444508645136

utexas.edu

golem.ph.utexas.edu

Furey, Cohl (2012-07-20), "Unified theory of ideals", Physical Review D, 86 (2): 025024, arXiv:1002.1497, Bibcode:2012PhRvD..86b5024F, doi:10.1103/PhysRevD.86.025024, S2CID 118458623
Furey, Cohl (2018-10-10), "Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra", Physics Letters B, 785: 84–89, arXiv:1910.08395, Bibcode:2018PhLB..785...84F, doi:10.1016/j.physletb.2018.08.032, S2CID 126205768
Stoica, O.C. (2018), "Leptons, quarks, and gauge from the complex Clifford algebra $\mathbb {C} \ell _{6}$ ", Advances in Applied Clifford Algebras, 28: 52, arXiv:1702.04336, doi:10.1007/s00006-018-0869-4, S2CID 125913482
Gresnigt, Niels G. (2017-11-21), Quantum groups and braid groups as fundamental symmetries, European Physical Society conference on High Energy Physics, 5–12 July 2017, Venice, Italy, arXiv:1711.09011
Dixon, Geoffrey M. (1994), Division Algebras: Octonions, quaternions, complex numbers, and the algebraic design of physics, Springer-Verlag, doi:10.1007/978-1-4757-2315-1, ISBN 978-0-7923-2890-2, OCLC 30399883
Baez, John C. (2011-01-29), "The Three-Fold Way (part 4)", The n-Category Café, retrieved 2018-11-02

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(Baez 2002, p. 1) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
(Baez 2002, p. 6) Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Baez (2002), pp. 37–38 Baez, John C. (2002), "The Octonions", Bulletin of the American Mathematical Society, 39 (2): 145–205, arXiv:math/0105155, doi:10.1090/S0273-0979-01-00934-X, ISSN 0273-0979, MR 1886087, S2CID 586512
Furey, Cohl (2012-07-20), "Unified theory of ideals", Physical Review D, 86 (2): 025024, arXiv:1002.1497, Bibcode:2012PhRvD..86b5024F, doi:10.1103/PhysRevD.86.025024, S2CID 118458623
Furey, Cohl (2018-10-10), "Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra", Physics Letters B, 785: 84–89, arXiv:1910.08395, Bibcode:2018PhLB..785...84F, doi:10.1016/j.physletb.2018.08.032, S2CID 126205768
Stoica, O.C. (2018), "Leptons, quarks, and gauge from the complex Clifford algebra $\mathbb {C} \ell _{6}$ ", Advances in Applied Clifford Algebras, 28: 52, arXiv:1702.04336, doi:10.1007/s00006-018-0869-4, S2CID 125913482
Gresnigt, Niels G. (2017-11-21), Quantum groups and braid groups as fundamental symmetries, European Physical Society conference on High Energy Physics, 5–12 July 2017, Venice, Italy, arXiv:1711.09011
Dixon, Geoffrey M. (1994), Division Algebras: Octonions, quaternions, complex numbers, and the algebraic design of physics, Springer-Verlag, doi:10.1007/978-1-4757-2315-1, ISBN 978-0-7923-2890-2, OCLC 30399883
Baez, John C. (2011-01-29), "The Three-Fold Way (part 4)", The n-Category Café, retrieved 2018-11-02

zbmath.org

(Conway & Smith 2003, ch 8.6) Conway, John Horton; Smith, Derek A. (2003), On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry, A. K. Peters, Ltd., ISBN 1-56881-134-9, Zbl 1098.17001.
(Conway & Smith 2003, ch 8) Conway, John Horton; Smith, Derek A. (2003), On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry, A. K. Peters, Ltd., ISBN 1-56881-134-9, Zbl 1098.17001.

zenodo.org

Cayley, Arthur (1845), "On Jacobi's Elliptic functions, in reply to the Rev. Brice Bronwin; and on Quaternions", Philosophical Magazine, 26 (172): 208–211, doi:10.1080/14786444508645107. Appendix reprinted in The Collected Mathematical Papers, Johnson Reprint Co., New York, 1963, p. 127