Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials
Quantum Algebra
2007-05-23 v3 Combinatorics
Representation Theory
Abstract
We show that the Littlewood-Richardson coefficients are values at 1 of certain parabolic Kazhdan-Lusztig polynomials for affine symmetric groups. These q-analogues of Littlewood-Richardson multiplicities coincide with those previously introduced in terms of ribbon tableaux.
Keywords
Cite
@article{arxiv.math/9809122,
title = {Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials},
author = {Bernard Leclerc and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:math/9809122},
year = {2007}
}
Comments
51 pages, 10 Figures, Minor corrections and typos, and some new comments concerning Soergel's character formula for tilting modules