The series De Gruyter Studies in Mathematics was founded in 1982 by the late Professor Heinz Bauer and Professor Peter Gabriel.
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.
The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.
The series De Gruyter Studies in Mathematics is indexed in MathSciNet (Mathematical Reviews) and Scopus.
Editor-in-Chief
Guozhen Lu, University of Connecticut, USA
Editorial Board
Carstensen Carsten, Humboldt-Universitat zu Berlin, Germany
Gavril Farkas, Humboldt-Universitat zu Berlin, Germany
Nicola Fusco, Università di Napoli "Federico II", Italy
Fritz Gesztesy, Baylor University, USA
Zenghu Li, Beijing Normal University, China
Karl-Hermann Neeb, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
René L. Schilling, Technische Universität Dresden, Germany
Volkmar Welker, Philipps-Universität Marburg, Germany
Please submit book proposals to Guozhen Lu
Autorentext
Martin Schlichenmaier, University of Luxembourg, Luxembourg.
Klappentext
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 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.