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Krichever-Novikov type algebras : theory and applications / / Martin Schlichenmaier



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Autore: Schlichenmaier Martin <1952-> Visualizza persona
Titolo: Krichever-Novikov type algebras : theory and applications / / Martin Schlichenmaier Visualizza cluster
Pubblicazione: Berlin ; ; Boston : , : De Gruyter, , [2014]
©2014
Descrizione fisica: 1 online resource (378 p.)
Disciplina: 512/.482
Soggetto topico: Infinite dimensional Lie algebras
Soggetto non controllato: Conformal field theory
Lie algebras
Mathematical physics
Moduli spaces
Riemann surfaces
Classificazione: SK 340
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references (pages 345-356).
Nota di contenuto: Front matter -- 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
Sommario/riassunto: Krichever and Novikov introduced certain classes of infinite dimensional Lie algebras to extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them to a more general setting needed by the applications. Examples of applications are Conformal Field Theory, Wess-Zumino-Novikov-Witten models, moduli space problems, integrable systems, Lax operator algebras, and deformation theory of Lie algebra. Furthermore they constitute an important class of infinite dimensional Lie algebras which due to their geometric
Titolo autorizzato: Krichever-Novikov type algebras  Visualizza cluster
ISBN: 3-11-038147-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910813134303321
Lo trovi qui: Univ. Federico II
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Serie: De Gruyter studies in mathematics ; ; volume 53.