Mészáros, Szabolcs (2018) Cocommutative elements form a maximal commutative subalgebra in quantum matrices. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 17 (9). ISSN 0219-4988
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Abstract
In this paper, we prove that the subalgebras of cocommutative elements in the quantized coordinate rings of Mn, GLn and SLn are the centralizers of the trace x1,1 + ⋯ + xn,n in each algebra, for q ∈ℂ × being not a root of unity. In particular, it is not only a commutative subalgebra as it was known before, but it is a maximal one. © 2018 World Scientific Publishing Company.
| Item Type: | Article |
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| Uncontrolled Keywords: | Quantum matrices; quantum groups; quantized coordinate rings; maximal commutative subalgebra; associated graded ring; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 13 Jan 2019 05:08 |
| Last Modified: | 13 Jan 2019 05:08 |
| URI: | http://real.mtak.hu/id/eprint/89802 |
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