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.
Brenti, F., Mongelli, P., Sentinelli, P. (2016). Parabolic Kazhdan-Lusztig R-polynomials for quasi-minuscule quotients. JOURNAL OF ALGEBRA, 452, 574-595 [10.1016/j.jalgebra.2016.01.017].
Parabolic Kazhdan-Lusztig R-polynomials for quasi-minuscule quotients
BRENTI, FRANCESCO;
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.File in questo prodotto:
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