arXiv Analytics

Sign in

arXiv:1712.03356 [math.RT]AbstractReferencesReviewsResources

On the decomposition of tensor representations of symmetric groups

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

Published 2017-12-09Version 1

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

Related articles: Most relevant | Search more
arXiv:math/0505325 [math.RT] (Published 2005-05-16)
The Decomposition of Lie Powers
arXiv:math/0610383 [math.RT] (Published 2006-10-11, updated 2006-11-03)
Polynomial solutions of the Knizhnik-Zamolodchikov equations and Schur-Weyl duality
arXiv:2312.14796 [math.RT] (Published 2023-12-22)
Framization of Schur--Weyl duality and Yokonuma--Hecke type algebras