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Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs
Author(s):
Francesco
Brenti
Journal:
Trans. Amer. Math. Soc.
361
(2009),
1703-1729.
MSC (2000):
Primary 05E99;
Secondary 20F55
Posted:
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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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:
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
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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