Katsuhisa Mimachi, Kyushu University, Japan
e-mail: mimachi@math.kyushu-u.ac.jp

A representation of the Iwahori-Hecke algebra on the twisted homology associated with the Selberg type integral

Abstract

We consider the twisted cycle (an element of the homology with the local system coefficient) defined by the integrand of the Selberg type integral. When we choose an appropriate subspace of it, we can construct a representation of the Iwahori-Hecke algebra.