**Contemporary Mathematics**

Volume: 343;
2004;
370 pp;
Softcover

MSC: Primary 16; 17; 22; 81;
Secondary 20; 94

Print ISBN: 978-0-8218-3337-7

Product Code: CONM/343

List Price: $103.00

Individual Member Price: $82.40

**Electronic ISBN: 978-0-8218-7933-7
Product Code: CONM/343.E**

List Price: $103.00

Individual Member Price: $82.40

# Kac-Moody Lie Algebras and Related Topics

Share this page *Edited by *
*N. Sthanumoorthy; Kailash C. Misra*

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.

#### Table of Contents

# Table of Contents

## Kac-Moody Lie Algebras and Related Topics

- Contents vii8 free
- Preface ix10 free
- Regularity of certain vertex operator superalgebras 112 free
- Weight modules for Weyl algebras 1728
- On an analog of the Onsager algebra of type D(1)n 4354
- Fusion rules for affine Kac-Moody algebras 5364
- Subalgebras of hyperbolic Kac-Moody algebras 97108
- Lie algebras, Fuchsian differential equations and CFT correlation functions 115126
- Conformal-field-theoretic analogues of codes and lattices 131142
- Matrix chain models and Kac-Moody algebras 147158
- Combinatorics of quantum affine Lie algebra representations 167178
- Low level representations for E10 and E11 191202
- Generators of relations for annihilating fields 229240
- On integrable representations for toroidal Lie superalgebras 243254
- Principal vertex operators and super Hirota bilinear equations for B3(1 ) 263274
- On some classes of root systems of generalized Kac-Moody algebras 289300
- Root multiplicities of some classes of extended-hyperbolic Kac-Moody and extended-hyperbolic generalized Kac-Moody algebras 315326
- From quantum affine Kac-Moody algebras to Drinfeldians and Yangians 349360

#### Readership

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