Non-symmetric quantum loop groups and K-theory
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.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Annales Scientifiques de l École Normale Supérieure
- Publication date
- 22 April 2026
- Language
- EN