English

Tensor Powers of the Defining Representation of $S_n$

Combinatorics 2017-08-23 v2 Probability Representation Theory

Abstract

We give a decomposition formula for tensor powers of the defining representation of SnS_n and apply it to bound the mixing time of a Markov chain on SnS_n.

Keywords

Cite

@article{arxiv.1508.05433,
  title  = {Tensor Powers of the Defining Representation of $S_n$},
  author = {Shanshan Ding},
  journal= {arXiv preprint arXiv:1508.05433},
  year   = {2017}
}