Abstract
In this article, we show explicitly all central irreducible idempotents and their Wedderburn decomposition of the dihedral group algebra FqD2n, in the case when every divisor of n divides q−1.This characterization depends to the relation of the irreducible idempotents of the cyclic group algebra FqCn and the central irreducible idempotents of the group algebras FqD2n.
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