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Representations of groups --- Symmetry groups --- Mathematical physics

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Homology theory --- Representations of algebras --- Representations of groups

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The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasize the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it. They also discuss Deligne-Lusztig induction. This will be the first elementary treatment of this material in book form and will be welcomed by beginning graduate students in algebra.

Representations of groups --- Lie groups. --- Representations of groups. --- Group theory --- Ordered algebraic structures --- Groupes de Lie --- Représentations de groupes

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This book is devoted to the theory of group representations, a young and promising area of modern algebra. It provides a detailed exposition of several central topics in the field, leading to the most current advances and developments. Much of the included material has never been available in book form before. It is intended for a broad audience of researchers and graduate students, working in abstract algebra and its many applications.

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

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Block theory is a part of the theory of modular representation of finite groups and deals with the algebraic structure of blocks. In this volume Burkhard Külshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puigs main result on the structure of the so called nilpotent blocks, which he discusses in the final chapter. All the proofs in the text are given clearly and in full detail, and suggestions for further reading are also included. For researchers and graduate students interested in group theory or representation theory, this book will form an excellent self contained introduction to the theory of blocks.

Blocks (Group theory) --- Finite groups. --- Nilpotent groups. --- Groups, Nilpotent --- Finite groups --- Groups, Finite --- Group theory --- Modules (Algebra) --- Block theory (Group theory) --- Representations of groups