vi CONTENTS
Chapter 7. Homomorphisms of Kac-Moody groups to algebraic groups 63
7.1. The non-linearity theorem 63
7.2. A combinatorial characterization of affine Coxeter groups 63
7.3. On infinite root systems 66
7.4. Proof of the non-linearity theorem 70
Chapter 8. Unitary forms of Kac-Moody groups 73
8.1. Introduction 73
8.2. Definitions 73
8.3. Isomorphisms of unitary forms 75
8.4. Non-linearity 78
Bibliography 79
Index 83
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