Abstract
The paper provides a compact, unified framework for the parallel description of both Clifford algebras: the usual Riemannian Clifford algebra and the symplectic Clifford algebra invented by Albert Crumeyrolle in 1975. Both Clifford algebras are defined as the deformations (mutations) of the Grassmann or symmetric algebras respectively. The presented algebraic formalism is particularly well suited for the description of the multi-fermionic and multi-bosonic operators in quantum field theory.
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© 1992 Springer Science+Business Media Dordrecht
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Oziewicz, Z., Sitarczyk, C. (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. Fundamental Theories of Physics, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8090-8_9
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DOI: https://doi.org/10.1007/978-94-015-8090-8_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4130-2
Online ISBN: 978-94-015-8090-8
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