Krichever-Novikov Type Algebras: Theory and Applications (De Gruyter Studies in Mathematics): 53

Krichever-Novikov Type Algebras: Theory and Applications (De Gruyter Studies in Mathematics): 53

by Martin Schlichenmaier (Author)

Synopsis

Krichever and Novikov introduced certain classes of infinite dimensionalLie algebrasto extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them toa 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 origin are still manageable. This book gives an introduction for the newcomer to this exciting field of ongoing research in mathematics and will be a valuable source of reference for the experienced researcher. Beside the basic constructions and results also applications are presented.

$247.48

Quantity

20+ in stock

More Information

Format: Hardcover
Pages: 375
Edition: Digital original
Publisher: De Gruyter
Published: 28 Jul 2014

ISBN 10: 3110265176
ISBN 13: 9783110265170

Media Reviews
[...] This is an interesting monograph and it will be useful both for experienced researchers and Ph.D. students working with infinite-dimensional Lie algebras, both on the mathematical side and on the side closer to theoretical physics.
Volodymyr Mazorchuk, Mathematical Reviews
Author Bio
Martin Schlichenmaier, University of Luxembourg, Luxembourg.