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 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 Brian C. Hall - arXiv
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
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.
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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.