Reductive Subgroups of Exceptional Algebraic Groups (Memoirs of the American Mathematical Society) by Martin W. Liebeck (PDF)

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The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations.

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