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Modular Interfaces: Modular Lie Algebras, Quantum Groups, and Lie Superalgebras
Edited by: Vyjayanthi Chari and Ivan B. Penkov, University of California, Riverside, CA
A co-publication of the AMS and International Press.
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AMS/IP Studies in Advanced Mathematics
1997; 160 pp; softcover
Volume: 4
ISBN-10: 0-8218-0748-X
ISBN-13: 978-0-8218-0748-4
List Price: US$43
Member Price: US$34.40
Order Code: AMSIP/4
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This book is a collection of papers dedicated to Richard E. Block, whose research has been largely devoted to the study of Lie algebras of prime characteristic (specifically the classification of simple Lie algebras). The volume presents proceedings of a conference held at the University of California at Riverside in February 1995 on the occasion of his retirement. The conference focused on the interplay between the theory of Lie algebras of prime characteristic, quantum groups, and Lie superalgebras.

Titles in this series are co-published with International Press, Cambridge, MA.

Readership

Graduate students and research mathematicians interested in nonassociative rings and algebras.

Table of Contents

  • Y. Bahturin and G. Benkart -- Highest weight modules for locally finite Lie algebras
  • V. Chari and A. Pressley -- Factorization of representations of quantum affine algebras
  • W. Chin and S. Montgomery -- Basic coalgebras
  • I. Dimitrov and I. Penkov -- Partially and fully integrable modules over Lie superalgebras
  • J. E. Humphreys -- Comparing modular representations of semisimple groups and their Lie algebras
  • W. Michaelis -- The dual Lie bialgebra of a Lie bialgebra
  • J. M. Osborn -- Derivations and isomorphisms of Lie algebras of characteristic 0
  • G. B. Seligman -- A characterization of some simple Lie algebras in prime characteristic
  • H. Strade -- Representations of derivation simple algebras
  • J. Towber -- Some properties of \({\mathbb Z}_2\)-graded determinants
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