Involutions in Weyl Groups

  title={Involutions in Weyl Groups},
  author={ROBERT E. KOTTWITZ},
  • Published 2000
Let G be a split real group with Weyl group W . Let E be an irreducible representation of W . Let V be the stable Lie algebra version of the coherent continuation representation of W . The main result of this paper is a formula for the multiplicity of E in V . The formula involves the position of E in Lusztig’s set ∐ M(G). The paper treats all quasi-split groups G as well. 

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