Double centralizing theorem with respect to q-commutativity relation-Reference-Cited by-同舟云学术

Double centralizing theorem with respect to q-commutativity relation

Published:2019-01 Issue:01 Volume:18 Page:1950003
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Dolinar Gregor¹²,Guterman Alexander³⁴,Kuzma Bojan²⁵,Markova Olga³⁴

Affiliation:

1. Faculty of Electrical Engineering, University of Ljubljana, Tržaška Cesta 25, SI-1000 Ljubljana, Slovenia

2. IMFM, Jadranska Cesta 19, SI-1000 Ljubljana, Slovenia

3. Faculty of Algebra, Department of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow 119991, Russia

4. Moscow Institute of Physics and Technology, Dolgoprudny, 141701, Russia

5. University of Primorska, FAMNIT, Glagoljaška 8, SI-6000 Koper, Slovenia

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 [Formula: see text] coincides with the set of polynomials in [Formula: see text]. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498819500038

Reference9 articles.

1. How and Why to Solve the Operator Equation AX −XB = Y

2. Reflexivity defect of spaces of linear operators

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4. Lectures in Abstract Algebra

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