Hecke algebras and involutions in Weyl groups

Author(s)
Lusztig, George; Vogan, David A.
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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.
Date issued
2012
URI
http://hdl.handle.net/1721.1/71596
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0304-9825
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