English

Constructions of highest weight modules of double Ringel-Hall algebras via functions

Representation Theory 2020-05-14 v1 Quantum Algebra

Abstract

In [19], Zheng studied the bounded derived categories of constructible Qˉl\bar{\mathbb{Q}}_l-sheaves on some algebraic stacks consisting of the representations of a enlarged quiver and categorified the integrable highest weight modules of the corresponding quantum group by using these categories. In this paper, we shall generalize Zheng's work to highest weight modules of a subalgebra of the double Ringel-Hall algebra associated to a quiver in a functional version.

Keywords

Cite

@article{arxiv.2005.06085,
  title  = {Constructions of highest weight modules of double Ringel-Hall algebras via functions},
  author = {Minghui Zhao},
  journal= {arXiv preprint arXiv:2005.06085},
  year   = {2020}
}