Representations of Finite Groups

Representations of Finite Groups 0366.3117

Tel Aviv, Spring 2000

Zeev Rudnick

The course will cover basics of the theory of representation of finite groups, and some examples of compact Lie groups.

Basic notions: Reducibility, intertwining operators
Schur's Lemma, orthogonality relations for matrix coefficients
Representations of abelian groups. Application: Primes in arithmetic progressions
Character theory, dimensions of irreducible representations
Induced representations, Mackey theory, representations of semi-direct products
Examples: irreducible representations of the symmetric groups, SL(2,p)
Representations of SU(2) and SO(3), spherical harmonics.

to be announced

Linear algebra, basic group theory.