Generalities on representations of finite groups
نویسنده
چکیده
Paul Garrett [email protected] http://www.math.umn.edu/ g̃arrett/ [This document is http://www.math.umn.edu/ ̃garrett/m/repns/notes 2014-15/03 generalities finite.pdf] 1. Subrepresentations, complete reducibility, unitarization 2. Dual/contragredient representations 3. Regular and biregular representations L(G) 4. Schur’s lemma 5. Central characters of irreducibles 6. Tensor products of representations 7. Matrix coefficient functions 8. Schur orthogonality, inner product relations 9. Representations of C c (G), convolution 10. G-representations versus C c (G)-modules 11. Decomposition of biregular representation on L(G)
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