Abstract
Some properties of Clifford algebras are actually common properties of all graded central simple algebras A provided with an involution ρi; with ρ is associated a “complex divided trace” (a complex number r such that r 8 = 1), and thus all such involutions are classified by a cyclic group of order 8. Complex divided traces are also involved in the Brauer—Wall group of the field ℝ, and they bring efficiency and enlightenment in the study of bilinear forms on graded A-modules.
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References
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© 2004 Birkhäuser Boston
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Helmstetter, J. (2004). The Group of Classes of Involutions of Graded Central Simple Algebras. In: Abłamowicz, R. (eds) Clifford Algebras. Progress in Mathematical Physics, vol 34. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2044-2_21
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DOI: https://doi.org/10.1007/978-1-4612-2044-2_21
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3525-1
Online ISBN: 978-1-4612-2044-2
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