On a Gelfand-Tsetlin representation of $\mathfrak{sl}_3$ in the space of sections of a local system with two monodromy parameters
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916568363958272 |
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| author | Eicher, Claude |
| author_facet | Eicher, Claude |
| contents | We construct a Gelfand-Tsetlin representation of $\mathfrak{sl}_3$ in the space of sections of a local system. The local system lives on an open part of the flag variety given by the intersection of three translates of the big cell and has two complex monodromy parameters. We analyze the structure of this representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09432 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a Gelfand-Tsetlin representation of $\mathfrak{sl}_3$ in the space of sections of a local system with two monodromy parameters Eicher, Claude Representation Theory We construct a Gelfand-Tsetlin representation of $\mathfrak{sl}_3$ in the space of sections of a local system. The local system lives on an open part of the flag variety given by the intersection of three translates of the big cell and has two complex monodromy parameters. We analyze the structure of this representation. |
| title | On a Gelfand-Tsetlin representation of $\mathfrak{sl}_3$ in the space of sections of a local system with two monodromy parameters |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2501.09432 |