Representations of Reductive p-adic Groups
by Fiona Murnaghan
Publisher: University of Toronto 2009
Number of pages: 128
Contents: Valuations and local fields; Smooth representations of locally compact totally disconnected groups; Haar measure, convolution, and characters of admissible representations; Induced representations - general properties; Parabolic induction and Jacquet modules; Supercuspidal representations and Jacquet's subrepresentation theorem; Depth zero supercuspidal representations; etc.
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by Fiona Murnaghan - University of Toronto
Contents: Representation Theory of Groups - Algebraic Foundations; Representations of Finite Groups; Representations of SL2(Fq); Representations of Finite Groups of Lie Type; Topological Groups, Representations, and Haar Measure; etc.
by William Crawley-Boevey - University of Leeds
These are lectures on the symmetric group, the general linear group and invariant theory. The course covered as much of the classical theory as time allowed. The text requires some knowledge of rings and modules, character theory, affine varieties.
by F. Bruhat - Tata Institute of Fundamental Research
The text covers the classical theory of valuated fields, results about representations of classical groups over a locally compact valuated field, and Dwork's proof of the rationality of the zeta function of an algebraic variety over a finite field.
by Christopher Cooper - Macquarie University
This is a first course on group theory suitable to a third year student. It motivates group theory with many illustrative examples such as shuffling of cards and permutation puzzles. There's an elementary introduction to representation theory.