Lie Algebras and Their Representations: A Symposium on Lie Algebras and Representation Theory, January 23-27, 1995, Seoul National University, Seoul, Korea

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American Mathematical Soc., 1996 - Mathematics - 232 pages
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.
 

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Contents

Commuting ActionsA Tale of Two Groups
1
Lie Theory over Commutative Rings and Lifting Invariant Forms
47
Polynomial Representations of Frobenius Kernels of GL2
57
Homological Topics in the Representation Theory of Restricted Lie Algebras
69
An Exposition of Generalized KacMoody Algebras
121
Root Multiplicities of Graded Lie Algebras
161
Similarity of Crystal Bases
177
Some Topics on the Representation Theory of Generalized KacMoody Algebras
187
Complexity and Support Varieties for Finite Dimensional Algebras
201
Quasiparticle Structure in Solvable Vertex Models
219
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