English

Quiver varieties and Hall algebras

Representation Theory 2017-05-17 v2

Abstract

In this paper we give a geometric construction of the quantum group Ut(G) using Nakajima categories, which were developed in [29]. Our methods allow us to establish a direct connection between the algebraic realization of the quantum group as Hall algebra by Bridgeland [1] and its geometric counterpart by Qin [24].

Keywords

Cite

@article{arxiv.1506.03609,
  title  = {Quiver varieties and Hall algebras},
  author = {Sarah Scherotzke and Nicolo Sibilla},
  journal= {arXiv preprint arXiv:1506.03609},
  year   = {2017}
}

Comments

references added

R2 v1 2026-06-22T09:51:41.496Z