Schlichenmaier Krichever–Novikov Type Algebras

Theory and Applications
1. Auflage 2014
ISBN: 978-3-11-038147-4
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, Band 53, 375 Seiten

Reihe: De Gruyter Studies in Mathematics

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.

Zielgruppe

Graduate and PhD students, researchers in Lie algebras, algebraic

Autoren/Hrsg.

Schlichenmaier, Martin

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Über Autor(innen)

Martin Schlichenmaier, University of Luxembourg, Luxembourg.