Primitive orthogonal idempotents of Brandt semigroup algebras and Brandt semigroup codes
Yi Zhang, Jiànróng Lǐ, Xiao-Song Peng, Yanfeng Luo · arXiv (Cornell University) · 2015
In this paper, we construct a complete set of primitive orthogonal idempotents for any finite Brandt semigroup algebra. As applications, we define a new class of codes called Brandt semigroup codes and compute the Cartan matrices of some Brandt semigroup algebras. We also study the supports, Hamming distances, and minimum weights of Brandt semigroup codes.