Contemporary Mathematics 1996; 232 pp; softcover Volume: 194 ISBN10: 0821805126 ISBN13: 9780821805121 List Price: US$54 Member Price: US$43.20 Order Code: CONM/194
 This book contains the refereed proceedings of the symposium on Lie algebras and representation theory which was held at Seoul National University (Korea) in January 1995. The symposium was sponsored by the Global Analysis Research Center of Seoul National University. Over the past 30 years, exciting developments in diverse areas of the theory of Lie algebras and their representations have been observed. The symposium covered topics such as Lie algebras and combinatorics, crystal bases for quantum groups, quantum groups and solvable lattice models, and modular and infinitedimensional Lie algebras. In this volume, readers will find several excellent expository articles and research papers containing many significant new results in this area. Consequently, this book can serve both as an introduction to various aspects of the theory of Lie algebras and their representations and as a good reference work for further research. Readership Graduate students, research mathematicians, and physicists interested in Lie algebras and their representations. Table of Contents  G. Benkart  Commuting actionsA tale of two groups
 B. Cox  Lie theory over commutative rings and lifting invariant forms
 S. R. Doty, D. K. Nakano, and K. M. Peters  Polynomial representations of Frobenius kernels of \(GL_2\)
 J. Feldvoss  Homological topics in the representation theory of restricted Lie algebras
 E. Jurisich  An exposition of generalized KacMoody algebras
 S.J. Kang  Root multiplicities of graded Lie algebras
 M. Kashiwara  Similarity of crystal bases
 S. Naito  Some topics on the representation theory of generalized KacMoody algebras
 D. K. Nakano  Complexity and support varieties for finite dimensional algebras
 A. Nakayashiki  Quasiparticle structure in solvable vertex models
