Asymptotics of higher Lie characters
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916952085102592 |
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| author | Adin, Ron M. Roichman, Yuval Tsilevich, Natalia |
| author_facet | Adin, Ron M. Roichman, Yuval Tsilevich, Natalia |
| contents | Higher Lie characters form a distinguished family of symmetric group characters, which appear in many areas of algebra and combinatorics. An old open problem of Thrall is to decompose them into irreducibles. We propose a novel asymptotic approach to this problem, showing that many families of higher Lie characters tend to be proportional to the regular character. In particular, a random higher Lie character tends, in probability, to be proportional to the regular character. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12904 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotics of higher Lie characters Adin, Ron M. Roichman, Yuval Tsilevich, Natalia Representation Theory Combinatorics Higher Lie characters form a distinguished family of symmetric group characters, which appear in many areas of algebra and combinatorics. An old open problem of Thrall is to decompose them into irreducibles. We propose a novel asymptotic approach to this problem, showing that many families of higher Lie characters tend to be proportional to the regular character. In particular, a random higher Lie character tends, in probability, to be proportional to the regular character. |
| title | Asymptotics of higher Lie characters |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2509.12904 |