Primitive orthogonal idempotents of Brandt semigroup algebras

2015/05/22 by Yi Zhang, Jian-Rong Li, Zhang, Yi +5
Computer Science · Mathematics · #16W99 #20M25 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1505.05973

openalex publication_date 2015/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A complete set of primitive orthogonal idempotents plays an important role in the representation theory of an associative algebra. In this paper, we construct a complete set of primitive orthogonal idempotents for any finite Brandt semigroup algebra.

Citations

• Idempotents in group algebras and minimal abelian codes

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