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arXiv · 2406.11436

Wedderburn decomposition of commutative semisimple group algebras using the Combinatorial Nullstellensatz

Robert Christian Subroto
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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.

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Robert Christian Subroto. 2024-06-17. Wedderburn decomposition of commutative semisimple group algebras using the Combinatorial Nullstellensatz. https://arxiv.org/abs/2406.11436

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