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This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al­ gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997. We acknowledge with gratitude the financial support given by the NATO Science Committee to enable this ASI to take place. Generous financial support was also provided by the European Union. We are also pleased to acknowledge funds given by EPSRC to the Newton Institute which were used to support the meeting. It is a pleasure to thank the Director of the Isaac Newton Institute, Professor Keith Moffatt, and the staff of the Institute for their dedicated work which did so much to further the success of the meeting. The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers. Finally we wish to thank the distinguished speakers at the ASI who agreed to write articles for this volume based on their lectures at the meet­ ing. We hope that the volume will stimulate further significant advances in the theory of algebraic groups.

Representations of groups. --- Linear algebraic groups. --- Représentations de groupes --- Groupes linéaires algébriques --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Calculus --- Représentations de groupes --- Groupes linéaires algébriques --- Lie groups --- Lie, Groupes de --- Representations of Lie groups --- Representations of Lie algebras --- Représentations de groupes de Lie --- Représentations d'algèbres de Lie --- Lie, Algèbres de --- Lie algebras --- Topological groups. --- Lie groups. --- Group theory. --- Nonassociative rings. --- Rings (Algebra). --- Topological Groups, Lie Groups. --- Group Theory and Generalizations. --- Non-associative Rings and Algebras. --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra) --- Groups, Theory of --- Substitutions (Mathematics) --- Groups, Lie --- Symmetric spaces --- Topological groups --- Groups, Topological --- Continuous groups --- Lie, Algèbres de. --- Représentations de groupes de Lie. --- Représentations d'algèbres de Lie. --- Lie, Algèbres de. --- Représentations de groupes de Lie. --- Représentations d'algèbres de Lie.