Relating signed and classical Kazhdan–Lusztig polynomials
نویسندگان
چکیده
منابع مشابه
Signed Mahonian polynomials for classical Weyl groups
The generating functions of the major index and of the flag-major index, with each of the one-dimensional characters over the symmetric and hyperoctahedral group, respectively, have simple product formulas. In this paper, we give a factorial-type formula for the generating function of the D-major index with sign over the Weyl groups of type D. This completes a picture which is now known for all...
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As for the symmetric group of ordinary permutations there is also a statistical study of the group of signed permutations, that consists of calculating multivariable generating functions for this group by statistics involving record values and the length function. Two approaches are here systematically explored, using the flag-major index on the one hand, and the flag-inversion number on the ot...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2014
ISSN: 0012-7094
DOI: 10.1215/00127094-2795435