Frenkel, Péter Ernő (2017) POLYNOMIAL IDENTITIES FOR MATRICES OVER THE GRASSMANN ALGEBRA. ISRAEL JOURNAL OF MATHEMATICS, 220 (2). pp. 791-801. ISSN 0021-2172
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Official URL: https://doi.org/10.1007/s11856-017-1533-8
Abstract
We determine minimal Cayley-Hamilton and Capelli identities for matrices over a Grassmann algebra of finite rank. For minimal standard identities, we give lower and upper bounds on the degree. These results improve on upper bounds given by L. Marki, J. Meyer, J. Szigeti and L. van Wyk in a recent paper.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 04 Dec 2017 15:22 |
| Last Modified: | 04 Dec 2017 15:22 |
| URI: | http://real.mtak.hu/id/eprint/70712 |
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