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From: Vivishek Sudhir on 1 Aug 2010 19:09 Given a general element u of the Clifford algebra Cl_p,q (R) and an (anti-)automorphism * on the same algebra; is it possible to consistently define * for all p,q so that it becomes isomorphic to the "reversion" operation defined for p=q=1? If it is not possible to define such a * for general p,q, under what conditions is such an operation (consistently) definable? As an aside, is "reversion" defined for Cl_2,0 (R) and Cl_0,2 (R) in the same manner as for Cl_1_1 (R) ? Thanks in advance |