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Group theory --- Representations of groups.

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Group theory --- Modular representations of groups. --- Rings (Algebra) --- Rings (Algebra).

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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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Group theory --- Functional analysis --- Automorphisms. --- Representations of groups. --- Von Neumann algebras.

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Differential geometry. Global analysis --- Differentiable dynamical systems. --- Representations of groups. --- Nonlinear theories. --- Lie groups.