Current Algebras on Riemann Surfaces: New Results and Applications

Author:   Oleg K. Sheinman
Publisher:   De Gruyter
Volume:   58
ISBN:  

9783110263961


Pages:   163
Publication Date:   14 September 2012
Recommended Age:   College Graduate Student
Format:   Hardback
Availability:   In Print   Availability explained
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Current Algebras on Riemann Surfaces: New Results and Applications


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Overview

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.

Full Product Details

Author:   Oleg K. Sheinman
Publisher:   De Gruyter
Imprint:   De Gruyter
Volume:   58
Weight:   0.420kg
ISBN:  

9783110263961


ISBN 10:   3110263963
Pages:   163
Publication Date:   14 September 2012
Recommended Age:   College Graduate Student
Audience:   Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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

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