5.0 credits
22.5 h + 15.0 h
2q
Teacher(s)
Ruelle Philippe ;
Language
Français
Main themes
1. Finite groups: fundamental notions and examples ; representations (tensors) ; characters ; tensor products (tensor algebra) ; illustrations on important finite groups (permutations and Young tableaux) ; applications ;
2. Lie groups and Lie algebras: generators ; classical groups ; representations of algebras ; representations of su(2) and tensor products ; lifting to SO(3) ; the su(3) algebra ; representations of linear groups and Young tableaux ; applications.
Aims
To give a systematic introduction to the theory of groups and their representations, and to demonstrate its usefulness in physics through selected applications.
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Other information
Prerequisites
BAC1 courses in algebra and calculus.
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