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This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.

Representations of groups. --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- 512.542 --- 512.542 Finite groups --- Finite groups --- Representations of groups

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Topological groups. Lie groups --- Semisimple Lie groups. --- Groupes de Lie semi-simples --- Representations of groups. --- Représentations de groupes --- Localization theory. --- Localisation, Théorie de la --- Localization theory --- Representations of groups --- Semisimple Lie groups --- Semi-simple Lie groups --- Lie groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Categories (Mathematics) --- Homotopy theory --- Nilpotent groups --- Groupes de Lie semi-simples. --- Représentations de groupes. --- Localisation, Théorie de la.