Seminar in Algebra, Lie Theory, and Geometry

Thanasin Nampaisarn

(Jacobs University)

"An Introduction to the Theory of Highest-Weight Modules"


Date: Mon, October 28, 2013
Time: 11:15
Place: East Hall 8

Abstract: During the course of this talk, we shall discuss important tools necessary for the understanding of the construction highest-weight modules. That is, we need to understand the notions of the enveloping algebra, Cartan subalgebras, root systems, and weights of a Lie algebra. We shall focus on the special linear Lie algebra sln(𝔽), where 𝔽 is either ℝ or ℂ.