Abstract
We discuss the use of Clifford Algebras in the classification of elementary particles as an alternative to the use of unitary Lie groups as internal symmetry groups, their physical interpretation and advantages. The relation of Clifford algebras to the projective representations of finite groups is given. We further introduce the concepts of Clifford algebras over the Heisenberg ring and Symplectic Clifford algebras that describe the internal geometry of relativisitic quantum systems.
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References
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© 1986 D. Reidel Publishing Company
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Barut, A.O. (1986). Clifford Algebras, Projective Representations and Classification of Fundamental Particles. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_33
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DOI: https://doi.org/10.1007/978-94-009-4728-3_33
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8602-8
Online ISBN: 978-94-009-4728-3
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