Current algebras on Riemann surfaces : new results and applications

Current algebras on Riemann surfaces : new results and applications / Oleg K. Sheinman.

This book is an introduction into a new and fast developing field on the crossroads of infinite-dimensional Lie algebra theory, conformal field theory, and the theory of integrable systems. For beginners, it provides a short way to join in the investigations in these fields. For experts, it sums up...

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Bibliographic Details
Main Author: Sheinman, Oleg K., 1949- (Author)
Format: eBook
Language:English
Published: Berlin ; Boston : De Gruyter, [2012]
Series:De Gruyter expositions in mathematics ; 58.
Subjects:
Lie algebras.
Riemann surfaces.
MATHEMATICS > Complex Analysis.
Lie algebras
Riemann surfaces
Online Access:Click for online access
Table of Contents:
  • Krichever-Novikov algebras : basic definitions and structure theory
  • Fermion representations and Sugawara construction
  • Projective flat connections on the moduli space of punctured Riemann surfaces and the Knizhnik-Zamolodchikov equation
  • Lax operator algebras
  • Lax equations on Riemann surfaces, and their hierarchies
  • Lax integrable systems and conformal field theory.

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