Primitive orthogonal idempotents of Brandt semigroup algebras
Yi Zhang, Jian-Rong Li, Xiao-Song Peng, Yan-Feng Luo
TL;DR
This paper constructs a complete set of primitive orthogonal idempotents for finite Brandt semigroup algebras, which is crucial for understanding their representation theory.
Contribution
It provides a general method to explicitly construct primitive orthogonal idempotents for any finite Brandt semigroup algebra, advancing algebraic representation theory.
Findings
Explicit construction of primitive orthogonal idempotents for finite Brandt semigroup algebras
Enhancement of understanding of the algebra's structure and representation theory
Potential applications in algebraic and semigroup theory
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Combinatorial Mathematics · semigroups and automata theory