arXiv Analytics

Sign in

arXiv:1008.2401 [math.RT]AbstractReferencesReviewsResources

A Combinatorial Formula for Orthogonal Idempotents in the $0$-Hecke Algebra of the Symmetric Group

Tom Denton

Published 2010-08-13Version 1

Building on the work of P.N. Norton, we give combinatorial formulae for two maximal decompositions of the identity into orthogonal idempotents in the $0$-Hecke algebra of the symmetric group, $\mathbb{C}H_0(S_N)$. This construction is compatible with the branching from $S_{N-1}$ to $S_{N}$.

Comments: 25 pages, 2 figures
Categories: math.RT, math.QA
Related articles: Most relevant | Search more
arXiv:1507.00872 [math.RT] (Published 2015-07-03)
On involutions in symmetric groups and a conjecture of Lusztig
arXiv:2402.11407 [math.RT] (Published 2024-02-18)
Hecke algebras and edge contractions
arXiv:1804.04567 [math.RT] (Published 2018-04-12)
A categorification of Hecke algebras with parameters 1 and v

Links

Toolbox