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Lie Algebras and Their Representations
Edited by: Seok-Jin Kang, Myung-Hwan Kim, and Insok Lee, Seoul National University, Korea

Contemporary Mathematics
1996; 232 pp; softcover
Volume: 194
ISBN-10: 0-8218-0512-6
ISBN-13: 978-0-8218-0512-1
List Price: US$57
Member Price: US$45.60
Order Code: CONM/194
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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 infinite-dimensional 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.


Graduate students, research mathematicians, and physicists interested in Lie algebras and their representations.

Table of Contents

  • G. Benkart -- Commuting actions--A 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 Kac-Moody 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 Kac-Moody algebras
  • D. K. Nakano -- Complexity and support varieties for finite dimensional algebras
  • A. Nakayashiki -- Quasi-particle structure in solvable vertex models
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