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Pré-Publication, Document De Travail Année : 2023

Quantum loop groups and critical convolution algebras

Résumé

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.

Dates et versions

hal-04223864 , version 1 (30-09-2023)

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Michela Varagnolo, Eric Vasserot. Quantum loop groups and critical convolution algebras. 2023. ⟨hal-04223864⟩
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