Lecture

Lie Algebras: Introduction and Structure

Description

This lecture introduces the concept of Lie algebras, named after Sophus Lie, a Norwegian mathematician. Lie algebras are vector spaces with a Lie bracket operation satisfying the Jacobi identity. The lecture explores the relationship between Lie algebras and continuous groups of symmetries, leading to important discoveries in Lie groups and algebraic groups.

Official source

https://mediaspace.epfl.ch/media/0_vv4ntgbl

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Representation theory, Linear algebra

Geometry: Algebraic geometry

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