Chapter 12 Invariant lattices of types F4 and E6, and the finite simple groups L4(3) , Ω7(3) , Fi22

Chapters in this book

1. Frontmatter I
2. Preface V
3. Introduction 1
4. Part I Orthogonal decompositions of complex simple Lie algebras
5. Chapter 1 Type An 13
6. Chapter 2 The types Βn, Cn and Dn 56
7. Chapter 3 Jordan subgroups and orthogonal decompositions 84
8. Chapter 4 Irreducible orthogonal decompositions of Lie algebras with special Coxeter number 107
9. Chapter 5 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type An 141
10. Chapter 6 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type Bn 162
11. Chapter 7 Orthogonal decompositions of semisimple associative algebras 187
12. Part II Integral lattices and their automorphism groups
13. Chapter 8 Invariant lattices of type G2 and the finite simple group G2(3) 203
14. Chapter 9 Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type Ap-1 231
15. Chapter 10 Invariant lattices of type Apm-1 285
16. Chapter 11 The types B2m-1 and D2m 355
17. Chapter 12 Invariant lattices of types F4 and E6, and the finite simple groups L4(3) , Ω7(3) , Fi22 409
18. Chapter 13 Invariant lattices of type E8 and the finite simple groups F3, L4(5) 440
19. Chapter 14 Other lattice constructions 471
20. Appendix 505
21. Bibliography 511
22. Notation 526
23. Author Index 529
24. Subject Index 531