Image from OpenLibrary

Introduction to Lie Algebras/ Reimundo Heluani.

By: Contributor(s): Publication details: Rio de Janeiro: IMPA, 2011.Description: video onlineOther title:
  • Programa de Doutorado: Introduction to Lie algebras
Subject(s): Online resources:
Partial contents:
We will go over the basics of structure and representation theory of finite dimensional complex Lie algebras. We will define basic concepts as ideals, homomorphisms, representations, etc. Then we will move to structure theory of semisimple Lie algebras: Killing form, Casimir elements, root systems, classification of simple algebras. And finally we will go to the basics of representation theory: characters, Weyl formulas, etc. Even though we will try to keep it purely algebraic and we may mention some connections to Lie Group theory and geometry. The only previous knowledge that this class will assume is some familiarity with basic algebraic objects like rings and fields. Understanding the notion of manifold would be useful when making connections to Lie Group theory.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
No physical items for this record

Curso - 10 aulas.

We will go over the basics of structure and representation theory of finite dimensional complex Lie algebras. We will define basic concepts as ideals, homomorphisms, representations, etc. Then we will move to structure theory of semisimple Lie algebras: Killing form, Casimir elements, root systems, classification of simple algebras. And finally we will go to the basics of representation theory: characters, Weyl formulas, etc. Even though we will try to keep it purely algebraic and we may mention some connections to Lie Group theory and geometry. The only previous knowledge that this class will assume is some familiarity with basic algebraic objects like rings and fields. Understanding the notion of manifold would be useful when making connections to Lie Group theory.

There are no comments on this title.

to post a comment.
© 2023 IMPA Library | Customized & Maintained by Sérgio Pilotto


Powered by Koha