We give explicit combinatorial formulas for the parabolic Kazhdan-Lusztig R-polynomials of the quasi-minuscule quotients of the classical Weyl groups. As an application of our results we obtain explicit combinatorial formulas for certain sums and alternating sums of ordinary Kazhdan-Lusztig R-polynomials.

Parabolic Kazhdan-Lusztig R-polynomials for quasi-minuscule quotients

Sentinelli P.
2016-01-01

Abstract

We give explicit combinatorial formulas for the parabolic Kazhdan-Lusztig R-polynomials of the quasi-minuscule quotients of the classical Weyl groups. As an application of our results we obtain explicit combinatorial formulas for certain sums and alternating sums of ordinary Kazhdan-Lusztig R-polynomials.
2016
Combinatorics
Kazhdan-Lusztig polynomial
Kazhdan-Lusztig R-polynomial
Quasi-minuscule quotient
Weyl group
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1190467
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