Non symmetric quantum loop groups and critical convolution algebras - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

Non symmetric quantum loop groups and critical convolution algebras

Résumé

We realize the quantum loop groups and shifted quantum loop groups of arbitrary types, possibly non symmetric, via the K-theoretical critical convolution algebras introduced by Varagnolo-Vasserot. This yields a generalization of Nakajima's construction of symmetric quantum loop groups via quiver varieties to non symmetric types. We also construct some simple modules, in particular all Kirillov-Reshethikin modules, using critical K-theory.

Dates et versions

hal-04223865 , version 1 (30-09-2023)

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Michela Varagnolo, Eric Vasserot. Non symmetric quantum loop groups and critical convolution algebras. 2023. ⟨hal-04223865⟩
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