Quivers with relations for symmetrizable Cartan matrices II : Convolution algebras

Christof Geiss; Bernard Leclerc; Jan Schröer

Quivers with relations for symmetrizable Cartan matrices II : Convolution algebras

Representation Theory 2015-05-18 v2 Rings and Algebras

Authors: Christof Geiss , Bernard Leclerc , Jan Schröer

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.

Keywords

symmetrizable Cartan matrix quiver with relations convolution algebra Kac-Moody algebra enveloping algebra Iwanaga-Gorenstein algebra constructible function

Cite

@article{arxiv.1502.01565,
  title  = {Quivers with relations for symmetrizable Cartan matrices II : Convolution algebras},
  author = {Christof Geiss and Bernard Leclerc and Jan Schröer},
  journal= {arXiv preprint arXiv:1502.01565},
  year   = {2015}
}

Comments

This article has been withdrawn.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

Quivers with relations for symmetrizable Cartan matrices II : Convolution algebras

Abstract

Keywords

Cite

Comments

Related papers