A generalization of the Jordan approach to symmetric Riemannian spaces

Kapitel in diesem Buch

1. Frontmatter I
2. Preface V
3. Table of Contents IX
4. PART I THE MONSTER
5. Vertex operators in algebraic topology 3
6. The radical of a vertex operator algebra 17
7. Associative subalgebras of the Griess algebra and related topics 27
8. A vertex operator algebra related to E8 with automorphism group O+( 10,2) 43
9. Modular forms associated with the Monster module 59
10. Quilts, the 3-string braid group, and braid actions on finite groups: an introduction 85
11. The moonshine VOA and a tensor product of Ising models 99
12. Netting the Monster 111
13. Monster roots 127
14. PART II LIE ALGEBRAS
15. On graded Lie algebras of characteristic three with classical reductive null component 149
16. Auslander-Reiten theory for restricted Lie algebras 165
17. Chief factors and the principal block of a restricted Lie algebra 187
18. On Drinfeld realization of quantum affine algebras 195
19. Free Lie superalgebras and the generalized Witt formula 207
20. A generalization of the Jordan approach to symmetric Riemannian spaces 221
21. Representation theory of Lie algebras of Cartan type 235