Primitive decompositions of idempotents of the group algebras of dihedral groups and generalized quaternion groups

In this paper, we introduce a method for computing the primitive decomposition of idempotents in any semisimple finite group algebra, utilizing its matrix representations and Wedderburn decomposition. Particularly, we use this method to calculate the examples of the dihedral group algebras $ \mathbb...

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Bibliographic Details
Main Authors: Lilan Dai, Yunnan Li
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241365?viewType=HTML