On eigenvalues of permutations in irreducible representations of symmetric and alternating groups

Abstract Denote the symmetric group of degree by . Let be an irreducible representation of over the field of complex numbers and . In this paper, we describe the set of eigenvalues of . Based on this result, we also obtain a description in the case of alternating groups.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-11-21
DOI
https://doi.org/10.1112/blms.70235
Citations
1
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
3.69
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article

On eigenvalues of permutations in irreducible representations of symmetric and alternating groups

Alexey Staroletov
1 citations
Bulletin of the London Mathematical Society
Advanced Algebra and Geometry
3.69
article

On eigenvalues of permutations in irreducible representations of symmetric and alternating groups

Alexey Staroletov
article en
1 citations

Abstract

Abstract Denote the symmetric group of degree by . Let be an irreducible representation of over the field of complex numbers and . In this paper, we describe the set of eigenvalues of . Based on this result, we also obtain a description in the case of alternating groups.

Bulletin of the London Mathematical SocietyVol. 58(1)
Sobolev Institute of Mathematics (RU)
Openalex Percentile: Top 6%
Advanced Algebra and Geometry
3.69
DOISourceOpenAlex
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On eigenvalues of permutations in irreducible representations of symmetric and alternating groups — Alexey Staroletov · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS