On the Decomposition of Tensor Representations of Symmetric Groups

P. P. Nikitin, N. V. Tsilevich, A. M. Vershik

Research output: Contribution to journalArticlepeer-review

Abstract

Following the general idea of Schur–Weyl scheme and using two suitable symmetric groups (instead of one), we define so called decomposition tensor of tensor representations for finite and infinite symmetric group. This makes more explicit the classical problem of decomposing tensor representations of these groups into irreducible components.

Original languageEnglish
Pages (from-to)895-908
JournalAlgebras and Representation Theory
Volume22
Issue number4
Early online date7 Jun 2019
DOIs
StatePublished - 15 Aug 2019

Scopus subject areas

  • Mathematics(all)

Keywords

  • Decomposition tensor of tensor representations
  • Infinite symmertic group
  • Schur-Weyl duality
  • Symmetric group

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