English

On the decomposition of tensor representations of symmetric groups

Representation Theory 2017-12-20 v2

Abstract

Following the general idea of Schur--Weyl scheme and using two suitable symmetric groups (instead of one), we try to make more explicit the classical problem of decomposing tensor representations of finite and infinite symmetric groups into irreducible components.

Keywords

Cite

@article{arxiv.1712.03356,
  title  = {On the decomposition of tensor representations of symmetric groups},
  author = {P. P. Nikitin and N. V. Tsilevich and A. M. Vershik},
  journal= {arXiv preprint arXiv:1712.03356},
  year   = {2017}
}

Comments

19 pp. Ref 14