Course No
M402
Credit
4
Approval
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
- G. James, M. Liebeck, “Representations and Characters of Groups”, Cambridge University Press, 2010.
Reference Books
- J. L. Alperin, R. B. Bell, “Groups and Representations”, Graduate Texts in Mathematics 162, Springer, 1995.
- B. Steinberg, “Representation Theory of Finite Groups”, Universitext, Springer, 2012.
- J-P. Serre, “Linear Representations of Finite Groups”, Graduate Texts in Mathematics 42, Springer-Verlag, 1977.
- B. Simon, “Representations of Finite and Compact Groups”, Graduate Studies in Mathematics 10, American Mathematical Society, 2009.