Abstract
A review of Clifford algebras over degenerate real bilinear forms is outlined and a discussion of the associated spin groups given. Attention is paid particularly to forms with nullspace of dimensions one and two, and explicit computations illustrate the connection to representations of inhomogeneous orthogonal groups of interest in physics. This provides a unified picture of relativistic and non-relativistic covariant wave equations for spinning particles.
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© 1986 D. Reidel Publishing Company
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Brooke, J.A. (1986). Spin Groups Associated with Degenerate Orthogonal Spaces. 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_8
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DOI: https://doi.org/10.1007/978-94-009-4728-3_8
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