Bijection between Conjugacy Classes and Irreducible Representations of Finite Inverse Semigroups
Representation Theory
2012-08-29 v1
Abstract
In this paper we show that the irreducible representations of a finite inverse semigroup over an algebraically closed field are in bijection with the conjugacy classes of if the characteristic of is zero or a prime number that does not divide the order of any maximal subgroup of .
Keywords
Cite
@article{arxiv.1208.5735,
title = {Bijection between Conjugacy Classes and Irreducible Representations of Finite Inverse Semigroups},
author = {Zhenheng Li and Zhuo Li},
journal= {arXiv preprint arXiv:1208.5735},
year = {2012}
}