Abstract:Let G be a group of order k. We consider the algebra M k (C) of k by k matrices over the complex numbers and view it as a crossed product with respect to G by embedding G in the symmetric group S k via the regular representation and embedding S k in M k (C) in the usual way. This induces a natural G-grading on M k (C) which we call a crossed-product grading. We study the graded * -identities for M k (C) equipped with such a crossed-product grading and the transpose involution. To each multilinear monomial in t… Show more
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