Quantum loop groups for arbitrary quivers
Representation Theory
2023-12-05 v3 High Energy Physics - Theory
Quantum Algebra
Abstract
We study the dual constructions of quantum loop groups and Feigin-Odesskii type shuffle algebras for an arbitrary quiver, for which the arrow parameters are arbitrary non-zero elements of any field. Examples of our setup include -theoretic Hall algebras of quivers with 0 potential, quantum loop groups of Kac-Moody type and quiver quantum toroidal algebras.
Keywords
Cite
@article{arxiv.2209.09089,
title = {Quantum loop groups for arbitrary quivers},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:2209.09089},
year = {2023}
}