Octonion (English Wikipedia)

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

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15doi.org

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(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

Jörg Schray; Corinne A. Manogue (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 ArXive preprint Figure 1 is located here.
(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 $\mathbb {C}$ ℓ₆". 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.

books.google.com

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

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

(Graves 1845) Graves (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
Jörg Schray; Corinne A. Manogue (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 ArXive preprint Figure 1 is located here.
(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 $\mathbb {C}$ ℓ₆". 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.
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. Retrieved 2024-01-20.

harvard.edu

ui.adsabs.harvard.edu

Jörg Schray; Corinne A. Manogue (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 ArXive preprint Figure 1 is located here.
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 $\mathbb {C}$ ℓ₆". 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.
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. Retrieved 2024-01-20.

ieee.org

ieeexplore.ieee.org

https://ieeexplore.ieee.org/document/10552342
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. Retrieved 2024-01-20.

newscientist.com

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

nugae.wordpress.com

(Conway & Smith 2003, Chapter 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. (Review).
(Conway & Smith 2003, Chapter 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. (Review).

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

Jörg Schray; Corinne A. Manogue (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 ArXive preprint Figure 1 is located here.
(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 $\mathbb {C}$ ℓ₆". 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. 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 (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 $\mathbb {C}$ ℓ₆". 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.

worldcat.org

(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 $\mathbb {C}$ ℓ₆". 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, Chapter 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. (Review).
(Conway & Smith 2003, Chapter 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. (Review).

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