We defined the averaging operator piV on a representation, and proved it to be a projection onto V's invariant subspace. Schur's lemma. Orthonormality of irreducible characters. Class functions. Reps are isomorphic iff they have the same character. Some character table stuff, with S3, S4 as examples.
We didn't prove that irreducible characters give an orthonormal basis of class functions; you can find that in the notes on the course web page.
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment