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

Author: Francesco Brenti
Journal: Trans. Amer. Math. Soc. 361 (2009), 1703-1729
MSC (2000): Primary 05E99; Secondary 20F55
DOI: https://doi.org/10.1090/S0002-9947-08-04458-9
Published electronically: October 29, 2008
MathSciNet review: 2465813
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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 , and that they are combinatorial invariants.

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