jaj•a•person's notes

Barry Simon

Representations of finite and compact groups

Convolution of group characters
Convolution of matrix representations
Every finite complex representation of a compact group is equivalent to a unitary representation
Group ring
Isomorphism between the complex group ring and direct sum of matrix algebras on carriers of irreducible representations
Orthonormality of irreducible characters
Orthonormality of irreps
Schur's lemma
Symmetric group
Tensor product of vector spaces over a field
∗-representation of the complex group ring