22. Representations of semisimple Lie algebras

10 dezembro 2020, 11:00 • Pedro Resende

Integral elements and dominant integral elements. Partial order on the set of integral elements. Basic properties. Integrality of the weights of the representations of semisimple Lie algebras, and invariance of the set of weights under the action of the Weyl group. Introduction to the theorem of the highest weight. This lecture was based on sections 8.7–8.8 and 9.1–9.2 of Brian Hall's book.