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Erschienen in:
2004 | OriginalPaper | Buchkapitel
The Group of Classes of Involutions of Graded Central Simple Algebras
verfasst von : Jacques Helmstetter
Erschienen in: Clifford Algebras
Verlag: Birkhäuser Boston
Enthalten in: Professional Book Archive
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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 r8 = 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.