On the identities of subalgebras of matrices over the Grassmann algebra |
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| Authors: | Amitai Regev |
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| Institution: | (1) Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100 Rehovot, Israel;(2) Department of Mathematics, Pennsylvania State University, 16802 University Park, PA, USA |
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| Abstract: | The polynomial identities of certain subalgebras of matrices, over the Grassmann algebra, are studied in terms of their cocharacters.
Our present knowledge of such characters for matrices over a fieldF (charF=0) plays a role here, and some of these results are extended to these subalgebras. In particular, we obtain bounds for the
codimensions of these algebras (Theorem 0.1 below).
Partially supported by an N. S. F. Grant. |
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