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Journal articles
CRYSTAL GRAPHS AND Q-ANALOGS OF WEIGHT MULTIPLICITIES FOR THE ROOT-SYSTEM A(N)
Abstract : We give an expression of the q-analogues of the multiplicities of weights in irreducible sl(n+1)-modules in terms of the geometry of the crystal graph attached to corresponding U-q(sl(n+1))-modules. As an application, we describe multivariate polynomial analogues of the multiplicities of the zero weight refining Kostant's generalized exponents.
https://hal-upec-upem.archives-ouvertes.fr/hal-00693520
Contributor : Alain Lascoux <>
Submitted on : Wednesday, May 2, 2012 - 5:41:00 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:06 PM
Contributor : Alain Lascoux <>
Submitted on : Wednesday, May 2, 2012 - 5:41:00 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:06 PM
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