English

Asymptotic freeness of Jucys-Murphy elements

Representation Theory 2012-02-07 v1

Abstract

We explain the appearance of free convolution of Kerov transition measures in the outer product of representations of S_n by showing that some elements of the group algebra are asymptotically free.

Keywords

Cite

@article{arxiv.1202.0888,
  title  = {Asymptotic freeness of Jucys-Murphy elements},
  author = {Lech Jankowski},
  journal= {arXiv preprint arXiv:1202.0888},
  year   = {2012}
}

Comments

26 pages, 4 figures