UID:
edocfu_9958353910402883
Format:
1 online resource(xv,360p.) :
,
illustrations.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110279641
Series Statement:
De Gruyter Studies in Mathematics; 53
Content:
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 still manageable. This book gives an introduction for the newcomer to this exciting field of ongoing research in mathematics and will be a valuable source of reference for the experienced researcher. Beside the basic constructions and results also applications are presented.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
1. Some background on Lie algebras --
,
2. The higher genus algebras --
,
3. The almost-grading --
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4. Fixing the basis elements --
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5. Explicit expressions for a system of generators --
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6. Central extensions of Krichever–Novikov type algebras --
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7. Semi-infinite wedge forms and fermionic Fock space representations --
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8. b − c systems --
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9. Affine algebras --
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10. The Sugawara construction --
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11. Wess–Zumino–Novikov–Witten models and Knizhnik–Zamolodchikov connection --
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12. Degenerations and deformations --
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13. Lax operator algebras --
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14. Some related developments --
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Bibliography --
,
Index.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110265170
Additional Edition:
ISBN 9783110280258
Language:
English
DOI:
10.1515/9783110279641
URL:
https://doi.org/10.1515/9783110279641
