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- W1569063338 abstract "Motivated by studying the Unitary Dual Problem, a variation of Kazhdan-Lusztig polynomials was defined in [Yee08] which encodes signature information at each level of the Jantzen filtration. These so called signed Kazhdan-Lusztig polynomials may be used to compute the signatures of invariant Hermitian forms on irreducible highest weight modules. The key result of this paper is a simple relationship between signed Kazhdan-Lusztig polynomials and classical Kazhdan-Lusztig polynomials: signed Kahzdan-Lusztig polynomials are shown to equal classical Kazhdan-Lusztig polynomials evaluated at $-q$ rather than $q$ and multiplied by a sign. This result has applications to finding the unitary dual for real reductive Lie groups since Harish-Chandra modules may be constructed by applying Zuckerman functors to highest weight modules." @default.
- W1569063338 created "2016-06-24" @default.
- W1569063338 creator A5057032287 @default.
- W1569063338 date "2014-08-15" @default.
- W1569063338 modified "2023-09-25" @default.
- W1569063338 title "Relating signed and classical Kazhdan–Lusztig polynomials" @default.
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- W1569063338 doi "https://doi.org/10.1215/00127094-2795435" @default.
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