Wedderburn decomposition of commutative semisimple group algebras using the Combinatorial Nullstellensatz
Rings and Algebras
2024-08-21 v2 Commutative Algebra
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2406.11436,
title = {Wedderburn decomposition of commutative semisimple group algebras using the Combinatorial Nullstellensatz},
author = {Robert Christian Subroto},
journal= {arXiv preprint arXiv:2406.11436},
year = {2024}
}
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20 pages, 0 figures