Contents

Chapters in this book

1. Frontmatter i
2. Preface v
3. Contents xi
4. 1. Some background on Lie algebras 1
5. 2. The higher genus algebras 8
6. 3. The almost-grading 28
7. 4. Fixing the basis elements 49
8. 5. Explicit expressions for a system of generators 70
9. 6. Central extensions of Krichever–Novikov type algebras 87
10. 7. Semi-infinite wedge forms and fermionic Fock space representations 157
11. 8. b − c systems 189
12. 9. Affine algebras 212
13. 10. The Sugawara construction 247
14. 11. Wess–Zumino–Novikov–Witten models and Knizhnik–Zamolodchikov connection 275
15. 12. Degenerations and deformations 303
16. 13. Lax operator algebras 324
17. 14. Some related developments 340
18. Bibliography 345
19. Index 357