Current Algebras on Riemann Surfaces: New Results and Applications - Couverture rigide

Livre 57 sur 95: De Gruyter Expositions in Mathematics

Sheinman, Oleg K.

 
9783110263961: Current Algebras on Riemann Surfaces: New Results and Applications

Synopsis

This monograph is an introduction into a new and fast developing field on the crossroads of infinite-dimensional Lie algebra theory and contemporary mathematical physics. It contains a self-consistent presentation of the theory of Krichever-Novikov algebras, Lax operator algebras, their interaction, representation theory, relations to moduli spaces of Riemann surfaces and holomorphic vector bundles on them, to Lax integrable systems, and conformal field theory.

For beginners, the book provides a short way to join in the investigations in these fields. For experts, it sums up the recent advances in the theory of almost graded infinite-dimensional Lie algebras and their applications.
The book may serve as a base for semester lecture courses on finite-dimensional integrable systems, conformal field theory, almost graded Lie algebras. Majority of results are presented for the first time in the form of monograph.

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À propos de l'auteur

Oleg K. Sheinman, Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia; Independent University of Moscow, Russia.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783119163873: Current Algebras on Riemann Surfaces: New Results and Applications

Edition présentée

ISBN 10 :  3119163872 ISBN 13 :  9783119163873
Editeur : Walter de Gruyter & Co, 2012
Couverture souple