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.
Commuting actions--A tale of two groups by G. Benkart Lie theory over commutative rings and lifting invariant forms by B. Cox Polynomial representations of Frobenius kernels of $GL 2$ by S. R. Doty, D. K. Nakano, and K. M. Peters Homological topics in the representation theory of restricted Lie algebras by J. Feldvoss An exposition of generalized Kac-Moody algebras by E. Jurisich Root multiplicities of graded Lie algebras by S.-J. Kang Similarity of crystal bases by M. Kashiwara Some topics on the representation theory of generalized Kac-Moody algebras by S. Naito Complexity and support varieties for finite dimensional algebras by D. K. Nakano Quasi-particle structure in solvable vertex models by A. Nakayashiki.
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