Kazhdan-Lusztig polynomials for Hermitian symmetric spaces

Boe, Brian D.

doi:10.1090/S0002-9947-1988-0957071-2

Kazhdan-Lusztig polynomials for Hermitian symmetric spaces

Author: Brian D. Boe
Journal: Trans. Amer. Math. Soc. 309 (1988), 279-294
MSC: Primary 22E46; Secondary 17B10, 32M15
DOI: https://doi.org/10.1090/S0002-9947-1988-0957071-2
MathSciNet review: 957071
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Abstract: A nonrecursive scheme is presented to compute the Kazhdan-Lusztig polynomials associated to a classical Hermitian symmetric space, extending a result of Lascoux-Schützenberger for grassmannians. The polynomials for the exceptional Hermitian domains are also tabulated. All the Kazhdan-Lusztig polynomials considered are shown to be monic.

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