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Current Algebras on Riemann Surfaces: New Results and Applications (de Gruyter Expositions in Mathematics): 58 - Hardcover

Book 57 of 95: De Gruyter Expositions in Mathematics

Sheinman, Oleg K.

 
9783110263961: Current Algebras on Riemann Surfaces: New Results and Applications (de Gruyter Expositions in Mathematics): 58

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.

"synopsis" may belong to another edition of this title.

About the Author

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

From the Back Cover

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.

"About this title" may belong to another edition of this title.