Lecture

Simple Modules: Schur's Lemma

In course

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Description

This lecture covers the concept of simple modules over a unital ring or a unital associative algebra. It explains torsion elements, torsion-free modules, free modules, simple rings, and simple associative algebras. The lecture also delves into endomorphisms of modules, Schur's lemma for modules, and Rieffel's lemma on the bicommutant of a simple algebra.

Official source

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

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Representation theory

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