Lecture

Completely Reducible Representations

Description

This lecture discusses completely reducible representations in the context of modules, submodules, and irreducible components. It covers the definitions of simple and semisimple modules, G-stable submodules, and the concept of being completely reducible. The lecture also explores examples and properties related to completely reducible representations, including the Maschke's theorem and the equivalence between being semi-simple and generated by simple submodules.

Official source

https://mediaspace.epfl.ch/media/0_vp494oji

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Ontological neighbourhood

Mathematics

Algebra: Representation theory, Abstract algebra

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