Lecture

Isotypic Decomposition

Description

This lecture introduces the concept of isotopic decomposition in representation theory, where a module can be uniquely decomposed into simple modules of a linear algebraic group. The lecture explains how isotopic components are semi-simple and how they relate to simple submodules. It also covers the direct sum of all isotopic components and the soco of a general module.

Official source

https://mediaspace.epfl.ch/media/0_e4syo7hm

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Representation theory

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