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Research Talk

Department of Mathematics

Representations of the elliptic Lie algebras and vertex algebras

May 6, 2024 (Monday), 3:30 pm – 4:30 pm A4#G06

Dr. Shaobin Tan.jpg

Shaobin Tan

Dean of the School of Mathematical Sciences

Xiamen University

Research interests: Representation Theory, Associative Algebra, Algebra, Lie Algebra, Group Theory, Vertex Operator Algebra.

Speaker Introduction

Prof. Shaobin Tan is the Dean of the school of mathematical sciences in XMU, China (XMU).

Abstract

The extended affine Lie algebras (EALAs) are generalizations of the finite dimensional simple Lie algebras and affine Kac-Moody algebras over the field of complex numbers. The elliptic Lie algebras (i.e. the toroidal EALAs of nullity two) are a class of the most important EALAs. In this talk, we deal with the classification of irreducible integrable representations for the elliptic Lie algebras, and the module categories correspondence between the elliptic Lie algebras and the associated vertex algebras. Department of Mathematics and Applied Mathematics, Xiamen University Malaysia.