TABLE OF CONTENTS

INTRODUCTION

PRELIMINARIES

0.1. Notation and Conventions 1

0.2. Generalized factorspace categories 4

0.3. Normal forms for local problems 8

0.4. Angular matrices and definition of subcategories 13

0.5. Dimension mappings 22

1. FIRST REDUCTION 24

2. SECOND REDUCTION 28

3. THIRD REDUCTION 54

4. FOURTH REDUCTION 72

5. THE AUSLANDER-REITEN QUIVER OF A 104

6. APPENDIX 130

6. 1. Complete list of all indecomposable A-lattices 130

6.2. The Auslander-Reiten quiver of M 133

6.3. Leitfaden 137

REFERENCES 138

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