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Kac-Moody Lie Algebras and Related Topics
Edited by: N. Sthanumoorthy, University of Madras, Chennai, India, and Kailash C. Misra, North Carolina State University, Raleigh, NC

Contemporary Mathematics
2004; 370 pp; softcover
Volume: 343
ISBN-10: 0-8218-3337-5
ISBN-13: 978-0-8218-3337-7
List Price: US$103
Member Price: US$82.40
Order Code: CONM/343
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This volume is the proceedings of the Ramanujan International Symposium on Kac-Moody Lie algebras and their applications. The symposium provided researchers in mathematics and physics with the opportunity to discuss new developments in this rapidly-growing area of research. The book contains several excellent articles with new and significant results. It is suitable for graduate students and researchers working in Kac-Moody Lie algebras, their applications, and related areas of research.


Graduate students and research mathematicians interested in Kac-Moody Lie algebras and their applications in mathematics and mathematical physics.

Table of Contents

  • D. Adamović -- Regularity of certain vertex operator superalgebras
  • V. Bekkert, G. Benkart, and V. Futorny -- Weight modules for Weyl algebras
  • E. Date and K. Usami -- On an analog of the Onsager algebra of type \(D^{(1)}_n\)
  • A. J. Feingold -- Fusion rules for affine Kac-Moody algebras
  • A. J. Feingold and H. Nicolai -- Subalgebras of hyperbolic Kac-Moody algebras
  • J. Fuchs, I. Runkel, and C. Schweigert -- Lie algebras, Fuchsian differential equations and CFT correlation functions
  • Y.-Z. Huang -- Conformal-field-theoretic analogues of codes and lattices
  • H. P. Jakobsen and C.-W. H. Lee -- Matrix chain models and Kac-Moody algebras
  • K. C. Misra and V. Williams -- Combinatorics of quantum affine Lie algebra representations
  • H. Nicolai and T. Fischbacher -- Low level representations for \(E_{10}\) and \(E_{11}\)
  • M. Primc -- Generators of relations for annihilating fields
  • S. E. Rao and K. Zhao -- On integrable representations for toroidal Lie superalgebras
  • N. Sthanumoorthy and C. K. Bagirathi -- Principal vertex operators and super Hirota bilinear equations for \(B^{(1)}_3\)
  • N. Sthanumoorthy and P. L. Lilly -- On some classes of root systems of generalized Kac-Moody algebras
  • N. Sthanumoorthy, P. L. Lilly, and A. U. Maheswari -- Root multiplicities of some classes of extended-hyperbolic Kac-Moody and extended-hyperbolic generalized Kac-Moody algebras
  • V. N. Tolstoy -- From quantum affine Kac-Moody algebras to Drinfeldians and Yangians
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