Lie Groups & Lie Algebras

A topic within Algebra, itself one of 14 topics in that field and part of Mathematics.

Reading on Lie Groups & Lie Algebras

2 works

Paper2000

An Elementary Introduction to Groups and Representations

Brian C. Hall

Builds Lie groups and Lie algebras entirely out of matrices before introducing any manifold theory, arguing the exponential map and its bracket are already accessible with the linear algebra a reader has.

link checked 17 Sept 2026

Mathematics · Algebra

FreeEntry

Book1969

Notes on Lie Algebras

Hans Samelson

Develops the classification of complex semisimple Lie algebras through root systems and Dynkin diagrams as one continuous argument, treating Weyl's theorem on complete reducibility as the fact that makes the whole structure theory work.

link checked 17 Sept 2026

Mathematics · Algebra

FreeAdvanced

Reading on Lie Groups & Lie Algebras

An Elementary Introduction to Groups and Representations

Notes on Lie Algebras

Other topics in Algebra