 Aims
To give a systematic introduction to the theory of groups and their representations, and to demonstrate its usefulness in physics through selected applications.
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.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Prerequisites
BAC1 courses in algebra and calculus.
Other credits in programs
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FSA12BA
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Deuxième année de bachelier en sciences de l'ingénieur, orientation ingénieur civil
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(4 credits)
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PHYS12BA
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Deuxième année de bachelier en sciences physiques
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(4 credits)
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