Krichever–Novikov Type Algebras
eBook - ePub

Krichever–Novikov Type Algebras

Theory and Applications

  1. 375 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Krichever–Novikov Type Algebras

Theory and Applications

About this book

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.

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Yes, you can access Krichever–Novikov Type Algebras by Martin Schlichenmaier in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2014
Print ISBN
9783110265170
eBook ISBN
9783110381474
Edition
1
Subtopic
Algebra

Table of contents

  1. Krichever–Novikov Type Algebras
  2. De Gruyter Studies in Mathematics
  3. Title Page
  4. Copyright Page
  5. Preface
  6. Table of Contents
  7. 1 Some background on Lie algebras
  8. 2 The higher genus algebras
  9. 3 The almost-grading
  10. 4 Fixing the basis elements
  11. 5 Explicit expressions for a system of generators
  12. 6 Central extensions of Krichever–Novikov type algebras
  13. 7 Semi-infinite wedge forms and fermionic Fock space representations
  14. 8 b − c systems
  15. 9 Affine algebras
  16. 10 The Sugawara construction
  17. 11 Wess–Zumino–Novikov–Witten models and Knizhnik–Zamolodchikov connection
  18. 12 Degenerations and deformations
  19. 13 Lax operator algebras
  20. 14 Some related developments
  21. Bibliography
  22. Index
  23. De Gruyter Studies in Mathematics