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Lie Algebras and Their Representations
 
Edited by: Seok-Jin Kang Seoul National University, Seoul, Korea
Myung-Hwan Kim Seoul National University, Seoul, Korea
Insok Lee Seoul National University, Seoul, Korea
Front Cover for Lie Algebras and Their Representations
Available Formats:
Electronic ISBN: 978-0-8218-7785-2
Product Code: CONM/194.E
List Price: $57.00
MAA Member Price: $51.30
AMS Member Price: $45.60
Front Cover for Lie Algebras and Their Representations
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  • Front Cover for Lie Algebras and Their Representations
  • Back Cover for Lie Algebras and Their Representations
Lie Algebras and Their Representations
Edited by: Seok-Jin Kang Seoul National University, Seoul, Korea
Myung-Hwan Kim Seoul National University, Seoul, Korea
Insok Lee Seoul National University, Seoul, Korea
Available Formats:
Electronic ISBN:  978-0-8218-7785-2
Product Code:  CONM/194.E
List Price: $57.00
MAA Member Price: $51.30
AMS Member Price: $45.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1941996; 232 pp
    MSC: Primary 17; Secondary 81; 82;

    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.

    Readership

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

  • Table of Contents
     
     
    • Articles
    • 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 ${\rm GL}_2$ [ 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 ]
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Volume: 1941996; 232 pp
MSC: Primary 17; Secondary 81; 82;

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.

Readership

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

  • Articles
  • 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 ${\rm GL}_2$ [ 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 ]
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