Non symmetric quantum loop groups and K-theory
Representation Theory
2025-07-22 v3
Abstract
We realize the quantum loop groups and shifted quantum loop groups of arbitrary types, possibly non symmetric, using critical K-theory. This generalizes the Nakajima construction of symmetric quantum loop groups via quiver varieties to non symmetric types. We also give a new geometric construction of some simple modules of both quantum loop groups and shifted quantum loop groups.
Cite
@article{arxiv.2308.01809,
title = {Non symmetric quantum loop groups and K-theory},
author = {Michela Varagnolo and Eric Vasserot},
journal= {arXiv preprint arXiv:2308.01809},
year = {2025}
}
Comments
62 pages. Final version