中文

Permutation representations on invertible matrices

表示论 2007-05-23 v1 组合数学

摘要

We discuss permutation representations which are obtained by the natural action of Sn×SnS_n \times S_n 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 SnS_n.

关键词

引用

@article{arxiv.math/0411556,
  title  = {Permutation representations on invertible matrices},
  author = {Yona Cherniavsky and Eli Bagno},
  journal= {arXiv preprint arXiv:math/0411556},
  year   = {2007}
}