Root monoids and active algebraic groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917026707013632 |
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| author | Nistiuk, Ekaterina Zaitseva, Yulia |
| author_facet | Nistiuk, Ekaterina Zaitseva, Yulia |
| contents | We describe affine monoids whose group of invertible elements is an active semidirect product of a unipotent group and a torus, in terms of comultiplications on the algebra of regular functions. We introduce the notion of a root monoid, which is constructed from a set of Demazure root pairs on an affine toric variety, and study the properties of such monoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16638 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Root monoids and active algebraic groups Nistiuk, Ekaterina Zaitseva, Yulia Algebraic Geometry 20M32, 14M25 (Primary) 14R20, 14R05 (Secondary) We describe affine monoids whose group of invertible elements is an active semidirect product of a unipotent group and a torus, in terms of comultiplications on the algebra of regular functions. We introduce the notion of a root monoid, which is constructed from a set of Demazure root pairs on an affine toric variety, and study the properties of such monoids. |
| title | Root monoids and active algebraic groups |
| topic | Algebraic Geometry 20M32, 14M25 (Primary) 14R20, 14R05 (Secondary) |
| url | https://arxiv.org/abs/2510.16638 |