Double centralizing theorem with respect to q -commutativity relation

Gregor Dolinar; Alexander Guterman; Bojan Kuzma; Olga Markova

doi:10.1142/s0219498819500038

Double centralizing theorem with respect to q -commutativity relation

Gregor Dolinar, Alexander Guterman, Bojan Kuzma, Olga Markova

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Linear algebraic version of celebrated Double Centralizing Theorem states that the set of matrices commuting with all matrices from a centralizer of a given matrix A coincides with the set of polynomials in A. We examine the existence of an analogue of this classical result once commutativity is substituted by commutativity up to a factor, which is an important relation in quantum physics.

Original language	English
Article number	1950003
Journal	Journal of Algebra and its Applications
Volume	18
Issue number	1
DOIs	https://doi.org/10.1142/s0219498819500038
State	Published - 1 Jan 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 World Scientific Publishing Company.

Funding

The works of the first and the third authors were partially supported by Slovenian Research Agency (research core fundings Nos. P1-0288, P1-0222, and by Grant BI-RU/16-18-033). The investigations of the second and the fourth authors are supported by Russian Science Foundation Grant 17-11-01124.

Funders	Funder number
Javna Agencija za Raziskovalno Dejavnost RS	P1-0222, P1-0288, BI-RU/16-18-033
Russian Science Foundation	17-11-01124

Keywords

Matrix spaces and algebras
commutativity up to a factor
double generalized centralizer
quasi-commutativity

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10.1142/s0219498819500038

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Double centralizing theorem with respect to q -commutativity relation

Abstract

Bibliographical note

Funding

Keywords

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