Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials

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 [21] in terms of ribbon tableaux. 

Topics

10 Figures and Tables

Cite this paper

@inproceedings{Leclerc1998LittlewoodRichardsonCA, title={Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials}, author={Bernard Leclerc and Jean-Yves Thibon}, year={1998} }