13. Representations of Lie groups and Lie algebras

6 novembro 2020, 11:00 • Pedro Resende

Proof of the classification of the irreducible representations of sl(3;C) (based on sections 6.4–6.5 of Brian Hall's book): highest weight cyclic representations and their identification with the irreducible representations; construction of irreducible representations as invariant subspaces of tensor powers of the standard representation and its dual. Example: construction of the irreducible representation with highest weight (1,1).