This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students.
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.