Lecture

Density Theorem: Endomorphisms of Simple Modules

In course

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Description

This lecture covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules over an associative algebra. The structure of subrepresentations of direct sums of irreducible representations is discussed, emphasizing the algebraic surjection onto the endomorphisms of a simple finite-dimensional module.

Official source

https://mediaspace.epfl.ch/media/0_yga0rec6

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Representation theory, Linear algebra, Polynomials

Mathematical logic: Set theory

Logic

Classical logic: First-order logic

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