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