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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2504.14684 |
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| _version_ | 1866917992463335424 |
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| author | Nadimpalli, Santosh Pattanayak, Santosha Prasad, Dipendra |
| author_facet | Nadimpalli, Santosh Pattanayak, Santosha Prasad, Dipendra |
| contents | The paper relates character value of an irreducible representation of a compact connected Lie group at certain elements of finite order with the dimension of a representation on another group, up to some precise constants, which all have significance. An important input is to analyse torsion elements of order d in an adjoint group with minimal dimensional centraliser, and to prove that in most cases when d divides the Coxeter number of G, this gives rise to a unique conjugacy class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14684 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Character theory at a torsion element Nadimpalli, Santosh Pattanayak, Santosha Prasad, Dipendra Representation Theory The paper relates character value of an irreducible representation of a compact connected Lie group at certain elements of finite order with the dimension of a representation on another group, up to some precise constants, which all have significance. An important input is to analyse torsion elements of order d in an adjoint group with minimal dimensional centraliser, and to prove that in most cases when d divides the Coxeter number of G, this gives rise to a unique conjugacy class. |
| title | Character theory at a torsion element |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2504.14684 |