Double centralizing theorem with respect to q -commutativity relation

Gregor Dolinar; Alexander Guterman; Bojan Kuzma; Olga Markova

doi:https://doi.org/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

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

Keywords

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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

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https://doi.org/10.1142/s0219498819500038

Cite this

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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.",

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AU - Dolinar, Gregor

AU - Guterman, Alexander

AU - Kuzma, Bojan

AU - Markova, Olga

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Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Matrix spaces and algebras

KW - commutativity up to a factor

KW - double generalized centralizer

KW - quasi-commutativity

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M3 - مقالة

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JO - Journal of Algebra and its Applications

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ER -

Double centralizing theorem with respect to q -commutativity relation

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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