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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
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 $ q$, and that they are combinatorial invariants.


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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
Email: brenti@mat.uniroma2.it

DOI: http://dx.doi.org/10.1090/S0002-9947-08-04458-9
PII: S 0002-9947(08)04458-9
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.
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.