Divisibility of Character Values of Representations of Coxeter Groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908339882950656 |
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| author | Ganguly, Jyotirmoy Joshi, Rohit |
| author_facet | Ganguly, Jyotirmoy Joshi, Rohit |
| contents | Let $d$ be a positive integer. We study the proportion of irreducible characters of infinite families of irreducible Coxeter groups whose values evaluated on a fixed element $g$ are divisible by $d$. For Coxeter groups of types $A_n, B_n$ and $D_n$, the proportion tends to $1$ as $n$ approaches infinity. For Dihedral groups, which are Coxeter groups of type $I_2(n)$, we compute the limit of the proportion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Divisibility of Character Values of Representations of Coxeter Groups Ganguly, Jyotirmoy Joshi, Rohit Representation Theory Let $d$ be a positive integer. We study the proportion of irreducible characters of infinite families of irreducible Coxeter groups whose values evaluated on a fixed element $g$ are divisible by $d$. For Coxeter groups of types $A_n, B_n$ and $D_n$, the proportion tends to $1$ as $n$ approaches infinity. For Dihedral groups, which are Coxeter groups of type $I_2(n)$, we compute the limit of the proportion. |
| title | Divisibility of Character Values of Representations of Coxeter Groups |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2504.18967 |