**Collection Number**C18016

**Collection Date**-

**Collection Type**Course

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

## PSI 2018/2019 - Lie Groups and Lie Algebras - Lecture 6

Tibra Ali
Perimeter Institute for Theoretical Physics

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

## PSI 2018/2019 - Lie Groups and Lie Algebras - Lecture 5

Tibra Ali
Perimeter Institute for Theoretical Physics

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

## PSI 2018/2019 - Lie Groups and Lie Algebras - Lecture 4

Tibra Ali
Perimeter Institute for Theoretical Physics

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

## PSI 2018/2019 - Lie Groups and Lie Algebras - Lecture 3

Tibra Ali
Perimeter Institute for Theoretical Physics

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

## PSI 2018/2019 - Lie Groups and Lie Algebras - Lecture 2

Tibra Ali
Perimeter Institute for Theoretical Physics

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

## PSI 2018/2019 - Lie Groups and Lie Algebras - Lecture 1

Tibra Ali
Perimeter Institute for Theoretical Physics

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