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

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

Access to Document

10.1142/s0219498819500038

Cite this

@article{c776ad2087dc4b798eef00edce177728,

title = "Double centralizing theorem with respect to q -commutativity relation",

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.",

keywords = "Matrix spaces and algebras, commutativity up to a factor, double generalized centralizer, quasi-commutativity",

author = "Gregor Dolinar and Alexander Guterman and Bojan Kuzma and Olga Markova",

note = "Publisher Copyright: {\textcopyright} 2019 World Scientific Publishing Company.",

year = "2019",

month = jan,

day = "1",

doi = "10.1142/s0219498819500038",

language = "الإنجليزيّة",

volume = "18",

journal = "Journal of Algebra and its Applications",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Double centralizing theorem with respect to q -commutativity relation

AU - Dolinar, Gregor

AU - Guterman, Alexander

AU - Kuzma, Bojan

AU - Markova, Olga

PY - 2019/1/1

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

UR - http://www.scopus.com/inward/record.url?scp=85043693712&partnerID=8YFLogxK

U2 - 10.1142/s0219498819500038

DO - 10.1142/s0219498819500038

M3 - مقالة

SN - 0219-4988

VL - 18

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

IS - 1

M1 - 1950003

ER -

Double centralizing theorem with respect to q -commutativity relation

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this