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arXiv · 2302.01418

Quantum loop groups and critical convolution algebras

Michela Varagnolo·Eric Vasserot
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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.

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Michela Varagnolo, Eric Vasserot. 2023-02-02. Quantum loop groups and critical convolution algebras. https://arxiv.org/abs/2302.01418

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