Wedderburn decomposition of commutative semisimple group algebras using the Combinatorial Nullstellensatz

2024/06/17 by Subroto, Robert Christian
#13M05 #13M10 #16S34 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2406.11436

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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