Free Field Realization of Affine Kac-Moody Algebras

浙江大学数学科学学院九十周年院庆系列活动之三十四

Title: Free Field Realization of Affine Kac-Moody Algebras

Speaker: Prof.  Yongchang Zhu (The Hong Kong University of Science and Technology)

Time: 3:00-4:30pm, June 25

Location: Room 200-9, Sir Shaw Run Run Business Administration building, School of Mathematical Sciences, Yuquan Campus

Abstract: Affine Kac-Moody algebras are infinite dimensional generalizations of simple Lie algebras. This class of Lie algebras is now a fundamental object studied in representation theory and plays an important role in mathematical physics. While the highest weight representations or more generally the representations in category O have been studied intensively, the representations of other types are much less studied. For example it is not known if there is a generalization of concept of (g,K)-modules. Currently we are at the stage to construct natural examples before making general definitions. In this talk, we show some new constructions using the method of free field realization

Contact Person: Dongwen Liu (maliu@zju.edu.cn)