Presents explicit representations of Lie algebras

Addresses interactions with partial differential equations

Examines associated new hypergeometric functions with root systems and quantum many-body systems in one dimension

Connects Lie algebras with coding theory

In 1992, Xiaoping Xu obtained his Ph.D. from Rutgers University in United States. He had worked  at the Hong Kong University of Sciences and Technology from 1992 to 2002. He has been a professor at Institute of Mathematics of Chinese Academy of Sciences since 2002 and a professor at the University at Chinese Academy of Sciences since 2014.