Quivers with relations for symmetrizable Cartan matrices II : Convolution algebras

Abstract

We realize the enveloping algebra of the positive part of a symmetrizable Kac-Moody algebra as a convolution algebra of constructible functions on module varieties of some Iwanaga-Gorenstein algebras of dimension 1.

This article has been withdrawn. We found a mistake in Proposition 4.13 which invalidates our proof of Theorem 1.1. The statement of Theorem 1.1 remains as a conjecture