Wedderburn decomposition of commutative semisimple group algebras using the Combinatorial Nullstellensatz
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911995368833024 |
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| author | Subroto, Robert Christian |
| author_facet | Subroto, Robert Christian |
| contents | In this paper, we present the simple components of the Wedderburn decomposition of semisimple commutative group algebras over finite abelian groups, which we investigate from a geometric point of view. We also present the Wedderburn decomposition of semisimple commutative group algebras over finite fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11436 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wedderburn decomposition of commutative semisimple group algebras using the Combinatorial Nullstellensatz Subroto, Robert Christian Rings and Algebras Commutative Algebra Representation Theory 16S34, 13M10, 13M05 In this paper, we present the simple components of the Wedderburn decomposition of semisimple commutative group algebras over finite abelian groups, which we investigate from a geometric point of view. We also present the Wedderburn decomposition of semisimple commutative group algebras over finite fields. |
| title | Wedderburn decomposition of commutative semisimple group algebras using the Combinatorial Nullstellensatz |
| topic | Rings and Algebras Commutative Algebra Representation Theory 16S34, 13M10, 13M05 |
| url | https://arxiv.org/abs/2406.11436 |