Linear Koszul Duality and affine Hecke algebras

Simon Riche (1) , Ivan Mirkovic (2)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 UMass Amherst - University of Massachusetts [Amherst]

In this paper we prove that the linear Koszul duality equivalence constructed in a previous paper provides a geometric realization of the Iwahori-Matsumoto involution of affine Hecke algebras.

Domaines: Théorie des représentations [math.RT]

Simon Riche, Ivan Mirkovic. Linear Koszul Duality and affine Hecke algebras. 2009. ⟨hal-00476256⟩