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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schlichenmaier, Martin
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 2014.
Colección:De Gruyter studies in mathematics.
Temas:
Infinite dimensional Lie algebras.
Algèbres de Lie de dimension infinie.
MATHEMATICS > Algebra > Intermediate.
Krichever-Novikov-Algebra
Unendlichdimensionale Lie-Algebra
Conformal field theory.
Lie algebras.
Mathematical physics.
Moduli spaces.
Riemann surfaces.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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