Orthogonal Decompositions and Integral Lattices

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Preface
Introduction	p. 1
Orthogonal decompositions of complex simple Lie algebras	p. 11
Type A[subscript n]	p. 13
The types B[subscript n], C[subscript n] and D[subscript n]	p. 56
Jordan subgroups and orthogonal decompositions	p. 84
Irreducible orthogonal decompositions of Lie algebras with special Coxeter number	p. 107
Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type A[subscript n]	p. 141
Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type B[subscript n]	p. 162
Orthogonal decompositions of semisimple associative algebras	p. 187
Integral lattices and their automorphism groups	p. 199
Invariant lattices of type G[subscript 2] and the finite simple G[subscript 2](3)	p. 203
Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type A[subscript p-1]	p. 231
Invariant lattices of type [actual symbol not reproducible]	p. 285
The types [actual symbol not reproducible] and [actual symbol not reproducible]	p. 355
Invariant lattices of types F[subscript 4] and E[subscript 6], and the finite simple groups L[subscript 4](3), [actual symbol not reproducible], Fi[subscript 22]	p. 409
Invariant lattices of type E[subscript 8] and the finite simple groups F[subscript 3], L[subscript 4](5)	p. 440
Other lattice constructions	p. 471
Appendix	p. 505
Bibliography	p. 511
Notation	p. 526
Author Index	p. 529
Subject Index	p. 531
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