Non symmetric quantum loop groups and K-theory

2023/08/03 by Varagnolo, Michela, Vasserot, Eric · 2 citations
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2308.01809

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.

Cited by

• Extremal monomials of q-characters
• Quiver moduli and quantum loop algebras

Related

• Quantum loop groups and critical convolution algebras
• Quantum loop groups for arbitrary quivers
• Quantum loop groups for symmetric Cartan matrices
• Quantum loop groups and K-theoretic stable envelopes
• Quantum loop algebras, quiver varieties, and cluster algebras