Lie Algebras and Their Representations
About this Title
Seok-Jin Kang, Myung-Hwan Kim and Insok Lee, Editors
Publication: Contemporary Mathematics
Publication Year : Volume 194
ISBNs: 978-0-8218-0512-1 (print); 978-0-8218-7785-2 (online)
MathSciNet review: 1395592
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
- Georgia Benkart – Commuting actions—a tale of two groups [MR 1395593]
- Ben Cox – Lie theory over commutative rings and lifting invariant forms [MR 1395594]
- Stephen R. Doty, Daniel K. Nakano and Karl M. Peters – Polynomial representations of Frobenius kernels of [MR 1395595]
- Jörg Feldvoss – Homological topics in the representation theory of restricted Lie algebras [MR 1395596]
- Elizabeth Jurisich – An exposition of generalized Kac-Moody algebras [MR 1395597]
- Seok-Jin Kang – Root multiplicities of graded Lie algebras [MR 1395598]
- Masaki Kashiwara – Similarity of crystal bases [MR 1395599]
- Satoshi Naito – Some topics on the representation theory of generalized Kac-Moody Algebras
- Daniel K. Nakano – Complexity and support varieties for finite-dimensional algebras [MR 1395601]
- Atsushi Nakayashiki – Quasi-particle structure in solvable vertex models [MR 1395602]