Lecture

Properties of Finite Dimensional Algebras

In course

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Description

This lecture covers the theorems of Jordan-Hölder and Krull-Schmidt, discussing the properties of finite dimensional algebras as modules over themselves and extensions of modules. The lecture explores the properties of non-semisimple representations and modules, providing examples and definitions along the way.

Official source

https://mediaspace.epfl.ch/media/0_ka4j64m2

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Ontological neighbourhood

Mathematics

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

Analysis: Functional analysis

Topology: Algebraic topology

Logic

Classical logic: First-order logic

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