Cohomology of the hyperplane complement of a quaternionic reflection group
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912663026532352 |
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| author | Griffeth, Stephen Guevara, David |
| author_facet | Griffeth, Stephen Guevara, David |
| contents | We compute the graded rank of the cohomology of the hyperplane complement associated with a quaternionic reflection group, and observe that it factors into irreducible factors with positive integer coefficients. For an irreducible group, these irreducible factors are all linear except at most one irreducible quadratic factor, which occurs for precisely three of the exceptional groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18607 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomology of the hyperplane complement of a quaternionic reflection group Griffeth, Stephen Guevara, David Representation Theory 20F55 We compute the graded rank of the cohomology of the hyperplane complement associated with a quaternionic reflection group, and observe that it factors into irreducible factors with positive integer coefficients. For an irreducible group, these irreducible factors are all linear except at most one irreducible quadratic factor, which occurs for precisely three of the exceptional groups. |
| title | Cohomology of the hyperplane complement of a quaternionic reflection group |
| topic | Representation Theory 20F55 |
| url | https://arxiv.org/abs/2510.18607 |