Krichever-Novikov Type Algebras : Theory and Applications.

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Krichever and Novikov introduced certain classes of infinite dimensionalLie algebrasto extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them toa more general setting needed by the applications. Examples of appl...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Schlichenmaier, Martin
Format: Electronic eBook
Language:Inglés
Published: Berlin : De Gruyter, 2014.
Series:De Gruyter studies in mathematics.
Subjects:
Infinite dimensional Lie algebras.
Algèbres de Lie de dimension infinie.
MATHEMATICS > Algebra > Intermediate.
Infinite dimensional Lie algebras
Krichever-Novikov-Algebra
Unendlichdimensionale Lie-Algebra
Conformal field theory.
Lie algebras.
Mathematical physics.
Moduli spaces.
Riemann surfaces.
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • 1. Some background on Lie algebras
  • 2. The higher genus algebras
  • 3. The almost-grading
  • 4. Fixing the basis elements
  • 5. Explicit expressions for a system of generators
  • 6. Central extensions of Krichever-Novikov type algebras
  • 7. Semi-infinite wedge forms and fermionic Fock space representations
  • 8. b
  • c systems
  • 9. Affine algebras
  • 10. The Sugawara construction
  • 11. Wess-Zumino-Novikov-Witten models and Knizhnik-Zamolodchikov connection
  • 12. Degenerations and deformations
  • 13. Lax operator algebras
  • 14. Some related developments
  • Bibliography
  • Index.

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