Representations of quantum affine (super)algebras from the R-matrix's point of view

Abstract: One of the major problems in representation theory of quantum affine algebras is to understand the tensor product structure, for which it has been recognized that (normalized) R-matrices and their poles play a crucial role. In this talk, we first give a brief survey on representations of quantum affine (super)algebras from this perspective. Then we will explain a new approach motivated from the super duality for Lie superalgebras, which is an ongoing project with Jae-Hoon Kwon and Masato Okado.

mathematical physicsquantum algebrarepresentation theory

Audience: researchers in the discipline

Geometry, Algebra and Physics at KIAS