jaj•a•person's notes

Barry Simon

Representations of finite and compact groups

978-0-8218-0453-7

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  • 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

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