Special Functions and Representation Theory

In this course we study special functions in connection with representation theory of specific Lie groups and Lie algebras. Topics include:

- Gamma and Beta integrals

- hypergeometric functions

- representation theory of compact matrix Lie groups and their Lie algebras

- representation theory of SU(2) and SO(3)

- Jacobi polynomials and matrix elements of SU(2)

- tensor products and Clebsch-Gordan coefficients

The final grade of the course consists of an exam (80%) and mandatory assignments (20%).

In case of an insufficient result, repair opportunities may be offered in accordance with TER Implementation Regulations Art 5, sub 5, for:

Oral exam: oral resit

Homework assignments: resubmit deliverable

Disclaimer: information may change depending on unforeseen circumstances or measures (see: TER Art 29, sub 4).