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 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 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 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 F. Bruhat - Tata Institute of Fundamental Research
We consider some heterogeneous topics relating to Lie groups and the general theory of representations of locally compact groups. We have rigidly adhered to the analytic approach in establishing the relations between Lie groups and Lie algebras.