Permutation representations on invertible matrices

Yona Cherniavsky; Eli Bagno

doi:10.1016/j.laa.2006.05.016

Permutation representations on invertible matrices

Yona Cherniavsky, Eli Bagno

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

4 Scopus citations

Abstract

We discuss permutation representations which are obtained by the natural action of S_n × S_n on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of S_n.

Original language	English
Pages (from-to)	494-518
Number of pages	25
Journal	Linear Algebra and Its Applications
Volume	419
Issue number	2-3
DOIs	https://doi.org/10.1016/j.laa.2006.05.016
State	Published - 1 Dec 2006
Externally published	Yes

Keywords

Permutation groups
Permutation representations
Representation theory

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10.1016/j.laa.2006.05.016

Cite this

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title = "Permutation representations on invertible matrices",

abstract = "We discuss permutation representations which are obtained by the natural action of Sn × Sn on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of Sn.",

keywords = "Permutation groups, Permutation representations, Representation theory",

author = "Yona Cherniavsky and Eli Bagno",

note = "Funding Information: The work was supported in part by the Israel Science Foundation. ∗ Corresponding author.",

year = "2006",

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AU - Cherniavsky, Yona

AU - Bagno, Eli

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Y1 - 2006/12/1

N2 - We discuss permutation representations which are obtained by the natural action of Sn × Sn on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of Sn.

AB - We discuss permutation representations which are obtained by the natural action of Sn × Sn on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of Sn.

KW - Permutation groups

KW - Permutation representations

KW - Representation theory

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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ER -

Permutation representations on invertible matrices

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Keywords

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