Anupam Singh
Published 2010-01-04, updated 2022-12-21Version 2
The point of view of these notes on the topic is to bring out the flavour that Representation Theory is an extension of the first course on Group Theory. We also emphasize the importance of the base field. These notes cover completely the theory over complex numbers which is Character Theory. A large number of worked-out examples are the main feature of these notes. The prerequisite for this note is basic group theory and linear algebra.
Comments: These notes grew out of a course on Representation Theory of finite groups given to undergraduate students at IISER Pune. This is second draft with some revisions and additional material
Rational representations and permutation representations of finite groups
Second cohomology for finite groups of Lie type
Computation of Kazhdan-Lusztig polynomials and some applications to finite groups
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