Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs
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- by Francesco Brenti PDF
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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 $q$, and that they are combinatorial invariants.References
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Additional Information
- Francesco Brenti
- Affiliation: Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 1, 00133 Roma, Italy
- MR Author ID: 215806
- Email: brenti@mat.uniroma2.it
- Received by editor(s): August 7, 2006
- Received by editor(s) in revised form: November 9, 2006
- Published electronically: October 29, 2008
- Additional Notes: The author was partially supported by EU grant HPRN-CT-2001-00272. Part of this research was carried out while the author was a member of the Mittag-Leffler Institut in Djürsholm, Sweden, whose hospitality and financial support are gratefully acknowledged.
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2465813