Non symmetric quantum loop groups and K-theory

Michela Varagnolo; Eric Vasserot

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arXiv · 2308.01809

Non symmetric quantum loop groups and K-theory

Michela Varagnolo·Eric Vasserot

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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.

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BibTeX RIS

Michela Varagnolo, Eric Vasserot. 2023-08-03. Non symmetric quantum loop groups and K-theory. https://arxiv.org/abs/2308.01809

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