UID:
almahu_9949462262402882
Format:
1 online resource (360 p.)
ISBN:
9783110279641
,
9783110494938
Series Statement:
De Gruyter Studies in Mathematics , 53
Content:
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 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 --
,
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
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
EBOOK PACKAGE Complete Package 2014, De Gruyter, 9783110369526
In:
EBOOK PACKAGE Mathematics, Physics 2014, De Gruyter, 9783110370355
Additional Edition:
ISBN 9783110381474
Additional Edition:
ISBN 9783110265170
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110279641
URL:
https://doi.org/10.1515/9783110279641
URL:
https://www.degruyter.com/isbn/9783110279641
