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.

Readership

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