## Course: MA 220## The plan is to cover the following topics in this course. - Groups and their actions on sets.
- Modules over rings and algebras, simple modules, Schur's lemma.
- Actions of groups on vector spaces, representations.
- Group algebras, modules, complete reducibility, Wedderburn's theorem.
- Characters, orthogonality relations.
- Tensor product of representations.
- Restriction and induction.
- Applications of representation theory.
- Representations of the symmetric group.
- Polynomial representations of GL_n(K)
__Books available in Library/Tata Book House__
- J.-P. Serre, Linear representations of finite groups.
- B. Sagan, The symmetric group.
- Martin Issacs: Character theory of finite Groups
- Amritanshu Prasad: Representation Theory
- G.James and M.Liebeck, Representations and characters of groups.
- K.Erdmann, J.A.Green, M. Schoker, Polynomial Representations of GL_n.
## Online textbooks/Notes:
__Grading:__
__20 %: Class tests__
__30%: ____Mid Sem ____(2-4pm on September 19th, 2017 )__
__50%: Final Exam __
__Question Sets: __
__Que Set-1__
*First Class test on September 07th, 2017. *
*Que Set-2 *
*Second class test on November 14th, 2017. *
*Que Set-3*
Third class test on *November 23rd, 2017*
*Final Exam on December 09th, 2017. *
More exercises on basic representation theory are available here! Thanks to Prof. A Raghuram for this compilation.
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