PSI 2018/2019 - Lie Groups and Lie Algebras (Ali)

PSI 2018/2019 - Lie Groups and Lie Algebras (Ali)

 

 

Thursday Aug 16, 2018
Speaker(s): 

SU(2) and SU(3) tensors, Young's tableau. 

 

 

Wednesday Aug 15, 2018
Speaker(s): 

Killing metric, Coset manifold, Representation theory of SU(2) Lie algebra, SU(2) tensors.

 

 

Tuesday Aug 14, 2018
Speaker(s): 

Examples of Lie groups continued: SO(m,n), SU(n), Cartan subalgebra, proof of irreducibility of the adjoint representation for simple Lie groups.

 

 

Friday Aug 10, 2018
Speaker(s): 

Lie algebras from Lie groups. The adjoint representation. Examples of Lie groups: GL(n,K), SO(n).

 

 

Thursday Aug 09, 2018
Speaker(s): 

Fundamental concepts of represenation theory. Groups and quantum mechanics. Lie groups.

 

 

Wednesday Aug 08, 2018
Speaker(s): 

Motivation and fundamental concepts of group theory. Examples of groups.