Quantum loop groups for generalized Cartan matrices

Abstract: We construct a quantum loop group associated to an arbitrary symmetric generalized Cartan matrix by defining appropriate versions of the Drinfeld-Serre relations. Explaining the meaning of the word "appropriate" and specifying the relations will be the main purpose of the talk.

mathematical physicsalgebraic geometrydifferential geometrygeometric topologyoperator algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Geometry, Physics, and Representation Theory Seminar

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