REAL

Cocommutative elements form a maximal commutative subalgebra in quantum matrices

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
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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