Lie groups, Lie algebras and representations

Third-cycle level | 7.5 credits | Course code: NFMV022
HT 2022
Study period: 2022-10-31 - 2023-01-15
LANGUAGE OF INSTRUCTION: The course is given in English
Application period: 2022-06-07 - 2022-10-17
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Course description

The course covers for example: Basis theory of Lie groups and Lie algebras. Nilpotent and simple Lie algebras. Theory of root systems and Dynkin diagrams. Examples of important representations of elementary Lie groups.  Peter-Weyl theorem and examples.

Requirements and Selection

Entry requirements

Linear and multi-linear algebra. Real Analysis, Functional Analysis. Higher differential calclus. Elementary differential geometry.

Selection

Not relevant

Course syllabus

NFMV022

Department

Department of Mathematical Sciences

Subject

Natural Science and Mathematics

Type of course

Subject area course

Keywords

Lie groups, Lie algebras

CONTACTGenkai Zhang

genkai.zhang@gu.se