CRYSTAL GRAPHS AND Q-ANALOGS OF WEIGHT MULTIPLICITIES FOR THE ROOT-SYSTEM A(N)

Authors
LASCOUX A LECLERQ B THIBON JY
Citation
A. Lascoux et al., CRYSTAL GRAPHS AND Q-ANALOGS OF WEIGHT MULTIPLICITIES FOR THE ROOT-SYSTEM A(N), letters in mathematical physics, 35(4), 1995, pp. 359-374
Citations number
27
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
35
Issue
4
Year of publication
1995
Pages
359 - 374
Database
ISI
SICI code
0377-9017(1995)35:4<359:CGAQOW>2.0.ZU;2-X
Abstract
We give an expression of the q-analogues of the multiplicities of weig hts in irreducible sl(n+1)-modules in terms of the geometry of the cry stal graph attached to corresponding U-q(sl(n+1))-modules. As an appli cation, we describe multivariate polynomial analogues of the multiplic ities of the zero weight refining Kostant's generalized exponents.