Degenerations of spherical subalgebras and spherical roots
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913362914312192 |
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| author | Avdeev, Roman |
| author_facet | Avdeev, Roman |
| contents | We obtain several structure results for a class of spherical subgroups of connected reductive complex algebraic groups that extends the class of strongly solvable spherical subgroups. Based on these results, we construct certain one-parameter degenerations of the Lie algebras corresponding to such subgroups. As an application, we exhibit explicit algorithms for computing the set of spherical roots of such a spherical subgroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_01169 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Degenerations of spherical subalgebras and spherical roots Avdeev, Roman Algebraic Geometry Group Theory 14M27, 14M17, 20G07 We obtain several structure results for a class of spherical subgroups of connected reductive complex algebraic groups that extends the class of strongly solvable spherical subgroups. Based on these results, we construct certain one-parameter degenerations of the Lie algebras corresponding to such subgroups. As an application, we exhibit explicit algorithms for computing the set of spherical roots of such a spherical subgroup. |
| title | Degenerations of spherical subalgebras and spherical roots |
| topic | Algebraic Geometry Group Theory 14M27, 14M17, 20G07 |
| url | https://arxiv.org/abs/1905.01169 |