ℓ-Weak Identities and Central Polynomials for Matrices

Guy Blachar; Eli Matzri; Louis Rowen; Uzi Vishne

doi:10.1007/978-3-030-63111-6_5

ℓ-Weak Identities and Central Polynomials for Matrices

Guy Blachar, Eli Matzri, Louis Rowen, Uzi Vishne

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

We develop the theory of ℓ-weak identities in order to provide a feasible way of studying the central polynomials of matrix algebras. We describe the weak identities of minimal degree of matrix algebras in any dimension.

Original language	English
Title of host publication	Springer INdAM Series
Publisher	Springer-Verlag Italia s.r.l.
Pages	69-95
Number of pages	27
DOIs	https://doi.org/10.1007/978-3-030-63111-6_5
State	Published - 2021

Publication series

Name	Springer INdAM Series
Volume	44
ISSN (Print)	2281-518X
ISSN (Electronic)	2281-5198

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Funding

Acknowledgments This work was supported by the Israel science foundation grants #1623/16 (LR and UV) and #630/17 (EM).

Funders	Funder number
Israel Science Foundation	1623/16, 630/17

Keywords

Central polynomials
Identities of matrix algebras
Weak identities

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10.1007/978-3-030-63111-6_5

Cite this

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ℓ-Weak Identities and Central Polynomials for Matrices

Abstract

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