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math.RT2023
Non symmetric quantum loop groups and K-theory
Michela Varagnolo, Eric Vasserot
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 o…
math.RT2023
Quantum loop groups and critical convolution algebras
Michela Varagnolo, Eric Vasserot
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 n…