English

The Hall algebra of a cyclic quiver at $q=0$

Representation Theory 2007-09-28 v1 Rings and Algebras

Abstract

We show that the generic Hall algebra of nilpotent representations of an oriented cycle specialised at q=0q=0 is isomorphic to the generic extension monoid in the sense of Reineke. This continues the work of Reineke.

Keywords

Cite

@article{arxiv.0709.4348,
  title  = {The Hall algebra of a cyclic quiver at $q=0$},
  author = {Stefan Wolf},
  journal= {arXiv preprint arXiv:0709.4348},
  year   = {2007}
}