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 Pavel Etingof, at al. - MIT
Representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics and quantum field theory.
by Gwyn Bellamy - arXiv
The emphasis throughout is on examples to illustrate the many different facets of symplectic reflection algebras. Exercises are included at the end of each lecture in order for the student to get a better feel for these algebras.
by Thomas J. Enright - Tata Institute of Fundamental Research
The purpose of these lectures is to describe a factorial correspondence between the theory of admissible representations for a complex semisimple Lie group and the theory of highest weight modules for a semisimple Lie algebra.
by Matvei Libine - arXiv
These are lecture notes for a one semester introductory course I gave at Indiana University. The goal was to make this exposition as clear and elementary as possible. A particular emphasis is given on examples involving SU(1,1).