Course

M402 - Representations of Finite Groups

Course No: 
M402
Credit: 
4
Prerequisites: 
M202
Approval: 
2014
UG-Core
PG-Elective
Syllabus: 

Group representations, Maschke’s theorem and completely reducibility, Characters, Inner product of Characters, Orthogonality relations, Burnside’s theorem, induced characters, Frobenius reciprocity, induced representations, Mackey’s Irreducibility Criterion, Character table of some well-known groups, Representation theory of the symmetric group: partitions and tableaux, constructing the irreducible representations.

Text Books: 
  1. G. James, M. Liebeck, “Representations and Characters of Groups”, Cambridge University Press, 2010.
Reference Books: 
  1. J. L. Alperin, R. B. Bell, “Groups and Representations”, Graduate Texts in Mathematics 162, Springer, 1995.
  2. B. Steinberg, “Representation Theory of Finite Groups”, Universitext, Springer, 2012.
  3. J-P. Serre, “Linear Representations of Finite Groups”, Graduate Texts in Mathematics 42, Springer-Verlag, 1977.
  4. B. Simon, “Representations of Finite and Compact Groups”, Graduate Studies in Mathematics 10, American Mathematical Society, 2009.

Contact us

School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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