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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin :
De Gruyter,
2014.
|
| Schriftenreihe: | De Gruyter studies in mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (378 pages) |
| Bibliographie: | Includes bibliographical references (pages 345-356). |
| ISBN: | 9783110279641 3110279649 3110381478 9783110381474 |
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| 490 | 1 | |a De Gruyter Studies in Mathematics ; |v v. 53 | |
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| 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. | ||
| 650 | 0 | |a Infinite dimensional Lie algebras. |0 http://id.loc.gov/authorities/subjects/sh91003307 | |
| 650 | 6 | |a Algèbres de Lie de dimension infinie. | |
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| 650 | 7 | |a Unendlichdimensionale Lie-Algebra |2 gnd |0 http://d-nb.info/gnd/4434344-9 | |
| 653 | |a Conformal field theory. | ||
| 653 | |a Lie algebras. | ||
| 653 | |a Mathematical physics. | ||
| 653 | |a Moduli spaces. | ||
| 653 | |a Riemann surfaces. | ||
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| 830 | 0 | |a De Gruyter studies in mathematics. |0 http://id.loc.gov/authorities/names/n83742913 | |
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| 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. |
| ctrlnum | (OCoLC)890070954 |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn890070954 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:11Z |
| institution | BVB |
| isbn | 9783110279641 3110279649 3110381478 9783110381474 |
| language | English |
| oclc_num | 890070954 |
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| physical | 1 online resource (378 pages) |
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| publishDate | 2014 |
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| publisher | De Gruyter, |
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| series | De Gruyter studies in mathematics. |
| series2 | De Gruyter Studies in Mathematics ; |
| spelling | Schlichenmaier, Martin. Krichever-Novikov Type Algebras : Theory and Applications. Berlin : De Gruyter, 2014. 1 online resource (378 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter Studies in Mathematics ; v. 53 Print version record. 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. Includes bibliographical references (pages 345-356). 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. English. Infinite dimensional Lie algebras. http://id.loc.gov/authorities/subjects/sh91003307 Algèbres de Lie de dimension infinie. MATHEMATICS Algebra Intermediate. bisacsh Infinite dimensional Lie algebras fast Krichever-Novikov-Algebra gnd http://d-nb.info/gnd/4272706-6 Unendlichdimensionale Lie-Algebra gnd http://d-nb.info/gnd/4434344-9 Conformal field theory. Lie algebras. Mathematical physics. Moduli spaces. Riemann surfaces. Print version: 9783110265170 De Gruyter studies in mathematics. http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=840482 Volltext |
| spellingShingle | Schlichenmaier, Martin Krichever-Novikov Type Algebras : Theory and Applications. De Gruyter studies in mathematics. 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. Infinite dimensional Lie algebras. http://id.loc.gov/authorities/subjects/sh91003307 Algèbres de Lie de dimension infinie. MATHEMATICS Algebra Intermediate. bisacsh Infinite dimensional Lie algebras fast Krichever-Novikov-Algebra gnd http://d-nb.info/gnd/4272706-6 Unendlichdimensionale Lie-Algebra gnd http://d-nb.info/gnd/4434344-9 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh91003307 http://d-nb.info/gnd/4272706-6 http://d-nb.info/gnd/4434344-9 |
| title | Krichever-Novikov Type Algebras : Theory and Applications. |
| title_alt | 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. |
| title_auth | Krichever-Novikov Type Algebras : Theory and Applications. |
| title_exact_search | Krichever-Novikov Type Algebras : Theory and Applications. |
| title_full | Krichever-Novikov Type Algebras : Theory and Applications. |
| title_fullStr | Krichever-Novikov Type Algebras : Theory and Applications. |
| title_full_unstemmed | Krichever-Novikov Type Algebras : Theory and Applications. |
| title_short | Krichever-Novikov Type Algebras : |
| title_sort | krichever novikov type algebras theory and applications |
| title_sub | Theory and Applications. |
| topic | Infinite dimensional Lie algebras. http://id.loc.gov/authorities/subjects/sh91003307 Algèbres de Lie de dimension infinie. MATHEMATICS Algebra Intermediate. bisacsh Infinite dimensional Lie algebras fast Krichever-Novikov-Algebra gnd http://d-nb.info/gnd/4272706-6 Unendlichdimensionale Lie-Algebra gnd http://d-nb.info/gnd/4434344-9 |
| topic_facet | Infinite dimensional Lie algebras. Algèbres de Lie de dimension infinie. MATHEMATICS Algebra Intermediate. Infinite dimensional Lie algebras Krichever-Novikov-Algebra Unendlichdimensionale Lie-Algebra |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=840482 |
| work_keys_str_mv | AT schlichenmaiermartin krichevernovikovtypealgebrastheoryandapplications |