On eigenvalues of permutations in irreducible representations of symmetric and alternating groups Full article
| Journal |
Bulletin of the London Mathematical Society
ISSN: 0024-6093 , E-ISSN: 1469-2120 |
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| Output data | Year: 2025, Pages: 1-19 Pages count : 19 DOI: 10.1112/blms.70235 | ||
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-11-00119 |
Abstract:
Denote the symmetric group of degree by . Let bean irreducible representation of over the field of com-plex numbers and ∈ . In this paper, we describe theset of eigenvalues of ( ). Based on this result, we alsoobtain a description in the case of alternating groups.
Cite:
Staroletov A.
On eigenvalues of permutations in irreducible representations of symmetric and alternating groups
Bulletin of the London Mathematical Society. 2025. P.1-19. DOI: 10.1112/blms.70235 WOS Scopus OpenAlex
On eigenvalues of permutations in irreducible representations of symmetric and alternating groups
Bulletin of the London Mathematical Society. 2025. P.1-19. DOI: 10.1112/blms.70235 WOS Scopus OpenAlex
Dates:
| Submitted: | Mar 6, 2025 |
| Accepted: | Oct 15, 2025 |
| Published online: | Nov 21, 2025 |
Identifiers:
| Web of science: | WOS:001620217700001 |
| Scopus: | 2-s2.0-105022613489 |
| OpenAlex: | W4416531542 |
Citing:
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