LINEAR KOSZUL DUALITY AND FOURIER TRANSFORM FOR CONVOLUTION ALGEBRAS

作者：Mirkovic Ivan^*; Riche Simon

来源：Documenta Mathematica, 2015, 20: 989-1038.

DOI：10.4171/dm/511

• Koszul duality
• Fourier transform
• affine Hecke algebras

In this paper we prove that the linear Koszul duality isomorphism for convolution algebras in K-homology of [MR3] and the Fourier transform isomorphism for convolution algebras in Borel Moore homology of [EM] are related by the Chern character. So, Koszul duality appears as a categorical upgrade of Fourier transform of constructible sheaves. This result explains the connection between the categorification of the Iwahori-Matsumoto involution for graded affine Hecke algebras in [EM] and for ordinary affine Hecke algebras in [MR3].

• 出版日期2015