Hecke algebras and involutions in Weyl groups

  title={Hecke algebras and involutions in Weyl groups},
  author={David Alexander Vogan},
(Py,w;i ∈ 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 [6]. Let I = {w ∈ W ;w2 = 1} be the set of involutions in W . In this paper we introduce some new polynomials P σ y,w = ∑ i≥0 P σ y,w;iu i (P σ y,w;i ∈ Z) for any pair y ≤ w of elements of I. These new polynomials are of interest in the theory of unitary representations of complex reductive… CONTINUE READING
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