Hecke algebras and involutions in Weyl groups
Name
Lusztig_Hecke algebras (arxiv).pdf
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266.88 KB
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161a3c38541506623e353c0a4928ffde
Author(s)
Lusztig, George
Vogan, David A.
Date Issued
2012
Journal
Bulletin of the Institute of Mathematics, Academia Sinica NS
Publisher
Institute of Mathematics, Academia Sinica
Citation
Lusztig, George and David A. Vogan. "Hecke algebras and involutions in Weyl groups." Bulletin of the Institute of Mathematics Academia Sinica (New Series) Vol.7(2012), No. 3, pp. 323-354.
Version
Author's final manuscript
Abstract
0.1. LetW be aWeyl group with standard set of generators S; let ≤ be the Bruhat
order on W. In [KL1],[KL2], certain polynomials ...
N, u is an indeterminate) were defined and computed in terms of an algorithm
for any y ≤ w in W. These polynomials are of interest for the representation
theory of complex reductive groups, see [KL1]. Let I = be ...
the set of involutions in W. In this paper we introduce some new polynomials
... Pσ for any pair y ≤ w of elements of I.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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