Quantum loop groups and critical convolution algebras
Representation Theory
2023-09-06 v5
Abstract
We realize geometrically a family of simple modules of (shifted) quantum loop groups including Kirillov-Reshetikhin and prefundamental representations. To do this, we introduce a new family of algebras attached to quivers with potentials, using critical K-theory and critical Borel-Moore homology, which generalizes the convolution algebras attached to quivers defined by Nakajima.
Cite
@article{arxiv.2302.01418,
title = {Quantum loop groups and critical convolution algebras},
author = {Michela Varagnolo and Eric Vasserot},
journal= {arXiv preprint arXiv:2302.01418},
year = {2023}
}
Comments
53 pages