Permutation representations on invertible matrices
Representation Theory
2007-05-23 v1 Combinatorics
Abstract
We discuss permutation representations which are obtained by the natural action of on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of .
Cite
@article{arxiv.math/0411556,
title = {Permutation representations on invertible matrices},
author = {Yona Cherniavsky and Eli Bagno},
journal= {arXiv preprint arXiv:math/0411556},
year = {2007}
}