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Bibliographic Details
Main Authors: Varagnolo, Michela, Vasserot, Eric
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2308.01809
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Table of Contents:
  • 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.