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Involutions of a Clifford Algebra Induced by Involutions of Orthogonal Group in Characteristic 2
Authors:M. G. Mahmoudi  A.-H. Nokhodkar
Affiliation:1. Department of Mathematical Sciences , Sharif University of Technology , Tehran , Iran mmahmoudi@sharif.ir;3. Department of Mathematical Sciences , Sharif University of Technology , Tehran , Iran
Abstract:Among the involutions of a Clifford algebra, those induced by the involutions of the orthogonal group are the most natural ones. In this work, several basic properties of these involutions, such as the relations between their invariants, their occurrences, and their decompositions, are investigated.
Keywords:Bilinear and quadratic forms  Clifford algebras  Involutions  Orthogonal group  Reflections
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