Cohomological integrality for weakly symmetric representations of reductive groups
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915740884402176 |
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| author | Hennecart, Lucien |
| author_facet | Hennecart, Lucien |
| contents | In this paper, we prove the integrality conjecture for quotient stacks arising from weakly symmetric representations of reductive groups. Our main result is a decomposition of the cohomology of the stack into finite-dimensional components indexed by some equivalence classes of cocharacters of a maximal torus. This decomposition enables the definition of new enumerative invariants associated with the stack, which we begin to explore. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09218 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomological integrality for weakly symmetric representations of reductive groups Hennecart, Lucien Representation Theory Algebraic Geometry In this paper, we prove the integrality conjecture for quotient stacks arising from weakly symmetric representations of reductive groups. Our main result is a decomposition of the cohomology of the stack into finite-dimensional components indexed by some equivalence classes of cocharacters of a maximal torus. This decomposition enables the definition of new enumerative invariants associated with the stack, which we begin to explore. |
| title | Cohomological integrality for weakly symmetric representations of reductive groups |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2406.09218 |