Krichever-Novikov type algebras : theory and applications / Martin Schlichenmaier.

Format:

Book

Author/Creator:

Schlichenmaier, Martin, 1952- author.

Series:

De Gruyter studies in mathematics ; volume 53.

De Gruyter studies in mathematics ; volume 53

Language:

English

Subjects (All):

Infinite dimensional Lie algebras.

Physical Description:

1 online resource (378 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : De Gruyter, [2014]

Language Note:

English

Summary:

Krichever and Novikov introduced certain classes of infinite dimensional Lie algebras to extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them to a more general setting needed by the applications. Examples of applications are Conformal Field Theory, Wess-Zumino-Novikov-Witten models, moduli space problems, integrable systems, Lax operator algebras, and deformation theory of Lie algebra. Furthermore they constitute an important class of infinite dimensional Lie algebras which due to their geometric

Contents:

Front matter

Preface

Contents

1. Some background on Lie algebras

2. The higher genus algebras

3. The almost-grading

4. Fixing the basis elements

5. Explicit expressions for a system of generators

6. Central extensions of Krichever-Novikov type algebras

7. Semi-infinite wedge forms and fermionic Fock space representations

8. b − c systems

9. Affine algebras

10. The Sugawara construction

11. Wess-Zumino-Novikov-Witten models and Knizhnik-Zamolodchikov connection

12. Degenerations and deformations

13. Lax operator algebras

14. Some related developments

Bibliography

Index

Notes:

Description based upon print version of record.

Includes bibliographical references (pages 345-356).

Description based on print version record.

ISBN:

3-11-038147-8

OCLC:

890070954