Clifford algebra (English Wikipedia)

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

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Lounesto 1996, pp. 3–30 or abridged version Lounesto, Pertti (1996), "Counterexamples in Clifford Algebras with CLICAL", Clifford Algebras with Numeric and Symbolic Computations, pp. 3–30, doi:10.1007/978-1-4615-8157-4_1, ISBN 978-1-4615-8159-8

archive.org

Weinberg 2002 Weinberg, S. (2002), The Quantum Theory of Fields, vol. 1, Cambridge University Press, ISBN 0-521-55001-7

arxiv.org

Francis & Kosowsky 2005, p. 404. Francis; Kosowsky (2005), "The construction of spinors in geometric algebra", Annals of Physics, 317 (2): 317, 384–409, arXiv:math-ph/0403040, Bibcode:2005AnPhy.317..383F, doi:10.1016/j.aop.2004.11.008, S2CID 119632876
Conte 2007 Conte, Elio (14 Nov 2007). "A Quantum-Like Interpretation and Solution of Einstein, Podolsky, and Rosen Paradox in Quantum Mechanics". arXiv:0711.2260 [quant-ph].

books.google.com

See for ex. Oziewicz & Sitarczyk 1992 Oziewicz, Z.; Sitarczyk, Sz. (1992). "Parallel treatment of Riemannian and symplectic Clifford algebras". In Micali, A.; Boudet, R.; Helmstetter, J. (eds.). Clifford Algebras and their Applications in Mathematical Physics. Kluwer. p. 83. ISBN 0-7923-1623-1.
See for ex. Oziewicz & Sitarczyk 1992 Oziewicz, Z.; Sitarczyk, Sz. (1992). "Parallel treatment of Riemannian and symplectic Clifford algebras". In Micali, A.; Boudet, R.; Helmstetter, J. (eds.). Clifford Algebras and their Applications in Mathematical Physics. Kluwer. p. 83. ISBN 0-7923-1623-1.
McCarthy 1990, pp. 62–65 McCarthy, J.M. (1990). An Introduction to Theoretical Kinematics. MIT Press. ISBN 978-0-262-13252-7.
Bottema & Roth 2012 Bottema, O.; Roth, B. (2012) [1979]. Theoretical Kinematics. Dover. ISBN 978-0-486-66346-3.

doi.org

Lounesto 1993, pp. 155–156 Lounesto, Pertti (1993), Z. Oziewicz; B. Jancewicz; A. Borowiec (eds.), "What is a bivector?", Spinors, Twistors, Clifford Algebras and Quantum Deformations, Fundamental Theories of Physics: 153–158, doi:10.1007/978-94-011-1719-7_18, ISBN 978-94-010-4753-1
Lounesto 1996, pp. 3–30 or abridged version Lounesto, Pertti (1996), "Counterexamples in Clifford Algebras with CLICAL", Clifford Algebras with Numeric and Symbolic Computations, pp. 3–30, doi:10.1007/978-1-4615-8157-4_1, ISBN 978-1-4615-8159-8
Lounesto 1993 Lounesto, Pertti (1993), Z. Oziewicz; B. Jancewicz; A. Borowiec (eds.), "What is a bivector?", Spinors, Twistors, Clifford Algebras and Quantum Deformations, Fundamental Theories of Physics: 153–158, doi:10.1007/978-94-011-1719-7_18, ISBN 978-94-010-4753-1
Francis & Kosowsky 2005, p. 404. Francis; Kosowsky (2005), "The construction of spinors in geometric algebra", Annals of Physics, 317 (2): 317, 384–409, arXiv:math-ph/0403040, Bibcode:2005AnPhy.317..383F, doi:10.1016/j.aop.2004.11.008, S2CID 119632876
Haile 1984 Haile, Darrell E. (Dec 1984). "On the Clifford Algebra of a Binary Cubic Form". American Journal of Mathematics. 106 (6). The Johns Hopkins University Press: 1269–1280. doi:10.2307/2374394. JSTOR 2374394.

harvard.edu

ui.adsabs.harvard.edu

Vaz & da Rocha 2016 make it clear that the map $i$ ( $γ$ in the quote here) is included in the structure of a Clifford algebra by defining it as "The pair $(A, γ)$ is a Clifford algebra for the quadratic space $(V, g)$ when $A$ is generated as an algebra by ${γ (v) | v \in V}$ and ${a 1 A | a \in R}$ , and $γ$ satisfies $γ (v) γ (u) + γ (u) γ (v) = 2 g (v, u)$ for all $v, u \in V$ ." Vaz, J.; da Rocha, R. (2016), An Introduction to Clifford Algebras and Spinors, Oxford University Press, Bibcode:2016icas.book.....V, ISBN 978-0-19-878292-6
Francis & Kosowsky 2005, p. 404. Francis; Kosowsky (2005), "The construction of spinors in geometric algebra", Annals of Physics, 317 (2): 317, 384–409, arXiv:math-ph/0403040, Bibcode:2005AnPhy.317..383F, doi:10.1016/j.aop.2004.11.008, S2CID 119632876
Vaz & da Rocha 2016, p. 126 Vaz, J.; da Rocha, R. (2016), An Introduction to Clifford Algebras and Spinors, Oxford University Press, Bibcode:2016icas.book.....V, ISBN 978-0-19-878292-6
Perwass 2009, §3.3.1 Perwass, Christian (2009), Geometric Algebra with Applications in Engineering, Springer Science & Business Media, Bibcode:2009gaae.book.....P, ISBN 978-3-540-89068-3

jstor.org

Haile 1984 Haile, Darrell E. (Dec 1984). "On the Clifford Algebra of a Binary Cubic Form". American Journal of Mathematics. 106 (6). The Johns Hopkins University Press: 1269–1280. doi:10.2307/2374394. JSTOR 2374394.

sciencedirect.com

Francis & Kosowsky 2005, p. 404. Francis; Kosowsky (2005), "The construction of spinors in geometric algebra", Annals of Physics, 317 (2): 317, 384–409, arXiv:math-ph/0403040, Bibcode:2005AnPhy.317..383F, doi:10.1016/j.aop.2004.11.008, S2CID 119632876

semanticscholar.org

api.semanticscholar.org

Francis & Kosowsky 2005, p. 404. Francis; Kosowsky (2005), "The construction of spinors in geometric algebra", Annals of Physics, 317 (2): 317, 384–409, arXiv:math-ph/0403040, Bibcode:2005AnPhy.317..383F, doi:10.1016/j.aop.2004.11.008, S2CID 119632876

zbmath.org

Garling 2011, p. 112. Garling, D. J. H. (2011), Clifford algebras. An introduction, London Mathematical Society Student Texts, vol. 78, Cambridge University Press, ISBN 978-1-107-09638-7, Zbl 1235.15025