ExteriorExtensions: A package for Macaulay2
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909922989441024 |
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| author | Oeding, Luke |
| author_facet | Oeding, Luke |
| contents | We explain a Macaulay2 implementation of a construction, which appeared in [Holweck-Oeding arXiv:2206.13662], of a graded algebra structure on the direct sum of a Lie algebra $\mathfrak{g}$ (typically $\mathfrak{sl}_n$) and a $\mathfrak{g}$-module (typically a subspace of an exterior algebra $\bigwedge^{\bullet}\mathbb{C}^n$). We implement brackets, a Killing form, matrix representations of adjoint operators and ranks of blocks of their powers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11368 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | ExteriorExtensions: A package for Macaulay2 Oeding, Luke Algebraic Geometry We explain a Macaulay2 implementation of a construction, which appeared in [Holweck-Oeding arXiv:2206.13662], of a graded algebra structure on the direct sum of a Lie algebra $\mathfrak{g}$ (typically $\mathfrak{sl}_n$) and a $\mathfrak{g}$-module (typically a subspace of an exterior algebra $\bigwedge^{\bullet}\mathbb{C}^n$). We implement brackets, a Killing form, matrix representations of adjoint operators and ranks of blocks of their powers. |
| title | ExteriorExtensions: A package for Macaulay2 |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2312.11368 |