Finite Group Representations for the Pure Mathematician
by Peter Webb
Publisher: University of Minnesota 2007
Number of pages: 183
The book is intended to be used as a learning tool by people who do not know the subject, rather than as an encyclopaedic reference. The book's title is intended to indicate both breadth and limitations: it will probably not be very useful to most physicists or chemists, but it is intended to be appropriate for non-specialists in the area of representation theory, such as those whose primary interest is topology, combinatorics or number theory.
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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).
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 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 Michael Ruzhansky, Ville Turunen - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.