Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs

Brenti, Francesco

doi:10.1090/S0002-9947-08-04458-9

Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs
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Trans. Amer. Math. Soc. 361 (2009), 1703-1729 Request permission

Abstract:

We study the parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs. In particular, we show that these polynomials are always either zero or a monic power of $q$, and that they are combinatorial invariants.

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