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Krichever-Novikov Type Algebras : Theory and Applications.
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
2014.
|
| Colección: | De Gruyter studies in mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Schlichenmaier, Martin. | |
| 245 | 1 | 0 | |a Krichever-Novikov Type Algebras : |b Theory and Applications. |
| 260 | |a Berlin : |b De Gruyter, |c 2014. | ||
| 300 | |a 1 online resource (378 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Studies in Mathematics ; |v v. 53 | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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 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 origin are. | ||
| 504 | |a Includes bibliographical references (pages 345-356). | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t 1. Some background on Lie algebras -- |t 2. The higher genus algebras -- |t 3. The almost-grading -- |t 4. Fixing the basis elements -- |t 5. Explicit expressions for a system of generators -- |t 6. Central extensions of Krichever-Novikov type algebras -- |t 7. Semi-infinite wedge forms and fermionic Fock space representations -- |t 8. b -- c systems -- |t 9. Affine algebras -- |t 10. The Sugawara construction -- |t 11. Wess-Zumino-Novikov-Witten models and Knizhnik-Zamolodchikov connection -- |t 12. Degenerations and deformations -- |t 13. Lax operator algebras -- |t 14. Some related developments -- |t Bibliography -- |t Index. |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Infinite dimensional Lie algebras. | |
| 650 | 6 | |a Algèbres de Lie de dimension infinie. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Infinite dimensional Lie algebras. |2 fast |0 (OCoLC)fst00972423 | |
| 650 | 7 | |a Krichever-Novikov-Algebra |2 gnd | |
| 650 | 7 | |a Unendlichdimensionale Lie-Algebra |2 gnd | |
| 653 | |a Conformal field theory. | ||
| 653 | |a Lie algebras. | ||
| 653 | |a Mathematical physics. | ||
| 653 | |a Moduli spaces. | ||
| 653 | |a Riemann surfaces. | ||
| 776 | 0 | 8 | |i Print version: |z 9783110265170 |
| 830 | 0 | |a De Gruyter studies in mathematics. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=840482 |z Texto completo |
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