Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials

Details Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials

1998-09-22

arxiv.org/abs/math/9809122v3

Mathematics

Quantum Algebra

51 pages, 10 Figures, Minor corrections and typos, and some new comments concerning Soergel's character formula for tilting mo

Scientific paper

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.

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