Hecke algebras and involutions in Weyl groups
Author(s)Lusztig, George; Vogan, David A.
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Bulletin of the Institute of Mathematics, Academia Sinica NS
Institute of Mathematics, Academia Sinica
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.
Author's final manuscript