Computing monomial bases in Lie theory using OSCAR
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914724741906432 |
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| author | Fang, Xin Fourier, Ghislain Göttgens, Lars Wilop, Ben |
| author_facet | Fang, Xin Fourier, Ghislain Göttgens, Lars Wilop, Ben |
| contents | In this survey, we present a detailed guide on using the computer algebra system OSCAR to compute monomial bases for simple, finite-dimensional modules of simple, complex Lie algebras. We will also demonstrate how to determine monomial bases for the homogeneous coordinate ring of a (partial) flag variety, depending on a chosen birational sequence and a monomial order. This survey will be updated to reflect any advancements in OSCAR's capabilities in these areas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15018 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computing monomial bases in Lie theory using OSCAR Fang, Xin Fourier, Ghislain Göttgens, Lars Wilop, Ben Representation Theory Algebraic Geometry 17B10, 14M25, 14D06, 14M15, 14-04, 97N80 In this survey, we present a detailed guide on using the computer algebra system OSCAR to compute monomial bases for simple, finite-dimensional modules of simple, complex Lie algebras. We will also demonstrate how to determine monomial bases for the homogeneous coordinate ring of a (partial) flag variety, depending on a chosen birational sequence and a monomial order. This survey will be updated to reflect any advancements in OSCAR's capabilities in these areas. |
| title | Computing monomial bases in Lie theory using OSCAR |
| topic | Representation Theory Algebraic Geometry 17B10, 14M25, 14D06, 14M15, 14-04, 97N80 |
| url | https://arxiv.org/abs/2403.15018 |