COMPUTING GALOIS GROUPS FOR CERTAIN CLASSES OF ORDINARY DIFFERENTIAL EQUATIONS

By P. BEDAT

CONTENTS INTRODUCTION BASIC DE?NITIONS AND FACTS NOTATION AND RESULTS FROM LINEAR ALGEBRA ALGEBRAIC GROUPS DI?ERENTIAL ALGEBRA COMPUTING THE GROUP OF L1 ?L2, L1, L2 COMPLETELY REDUCIBLE CONNECTIONS AND D-MODULES COMPUTING THE GROUP OF L(Y) = B, L COMPLETELY REDUCIBLE COMPUTING THE GROUP OF Y ? = AY + B, Y ? = AY COMPLETELY REDUCIBLE COMPUTING THE GROUP OF D3 + AD + B, A, B ?C[X] DE?NITIONS AND MAIN RESULTS UNIPOTENT SUBGROUPS OF SL3 ADMISSIBLE SUBGROUPS OF SL3 EXAMPLES