On Borel orbits of quadratic forms in characteristic 2
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911308333449216 |
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| author | Sanderson, Yasmine B. |
| author_facet | Sanderson, Yasmine B. |
| contents | We consider the spherical variety of quadratic forms over a quadratically closed field of characteristic 2, and determine its orbits for the action of the Borel subgroup of upper triangular matrices. We exhibit a connection between these orbits and the Catalan triangle numbers. In addition, we describe explicitly a natural Weyl group action on the set of Borel orbit double covers |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07669 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Borel orbits of quadratic forms in characteristic 2 Sanderson, Yasmine B. Algebraic Geometry Combinatorics Representation Theory 14M27, 05A15, 20G15 We consider the spherical variety of quadratic forms over a quadratically closed field of characteristic 2, and determine its orbits for the action of the Borel subgroup of upper triangular matrices. We exhibit a connection between these orbits and the Catalan triangle numbers. In addition, we describe explicitly a natural Weyl group action on the set of Borel orbit double covers |
| title | On Borel orbits of quadratic forms in characteristic 2 |
| topic | Algebraic Geometry Combinatorics Representation Theory 14M27, 05A15, 20G15 |
| url | https://arxiv.org/abs/2512.07669 |