Some infinite-dimensional representations of certain Coxeter groups
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866915209619177472 |
|---|---|
| author | Hu, Hongsheng |
| author_facet | Hu, Hongsheng |
| contents | A Coxeter group admits infinite-dimensional irreducible complex representations if and only if it is not finite or affine. In this paper, we provide a construction of some of those representations for certain Coxeter groups using some topological information of the corresponding Coxeter graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_09294 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Some infinite-dimensional representations of certain Coxeter groups Hu, Hongsheng Representation Theory Combinatorics Rings and Algebras A Coxeter group admits infinite-dimensional irreducible complex representations if and only if it is not finite or affine. In this paper, we provide a construction of some of those representations for certain Coxeter groups using some topological information of the corresponding Coxeter graphs. |
| title | Some infinite-dimensional representations of certain Coxeter groups |
| topic | Representation Theory Combinatorics Rings and Algebras |
| url | https://arxiv.org/abs/2205.09294 |