A minimal Gröbner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929207024549888 |
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| author | Fourier, Ghislain van Eß, León |
| author_facet | Fourier, Ghislain van Eß, León |
| contents | We explicitly provide minimal Gröbner bases for simple, finite-dimensional modules of complex Lie algebras of types A and C, using a homogeneous ordering that is compatible with the PBW filtration on the universal enveloping algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A minimal Gröbner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules Fourier, Ghislain van Eß, León Representation Theory Combinatorics 17B10, 13P10 We explicitly provide minimal Gröbner bases for simple, finite-dimensional modules of complex Lie algebras of types A and C, using a homogeneous ordering that is compatible with the PBW filtration on the universal enveloping algebras. |
| title | A minimal Gröbner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules |
| topic | Representation Theory Combinatorics 17B10, 13P10 |
| url | https://arxiv.org/abs/2401.01634 |