English

Some numerical and algorithmical probelms in the asymptotic representation theory

Representation Theory 2010-04-13 v1

Abstract

The article presents the results of experiments in computation of statistical values related to Young diagrams, including the estimates on maximum and average (by Plancherel distribution) dimension of irreducible representation of symmetric group SnS_n. The computed limit shapes of two-dimensional and three-dimensional diagrams distributed by Richardson statistics are presented as well.

Keywords

Cite

@article{arxiv.1004.1869,
  title  = {Some numerical and algorithmical probelms in the asymptotic representation theory},
  author = {Anatoly Vershik and Dmitry Pavlov},
  journal= {arXiv preprint arXiv:1004.1869},
  year   = {2010}
}

Comments

16 pp, 12 fig

R2 v1 2026-06-21T15:09:10.076Z