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Lie Groups, Lie Algebras, and Representations: An Elementary Introduction

Lie Groups, Lie Algebras, and Representations: An Elementary Introduction

Description

Recommended here as a good introduction to Lie theory:

I would suggest you start with chapter 4 of An Introduction to Manifolds by Tu, Then study Lie Groups, Lie Algebras, and Representations: An Elementary Introduction by Hall and finally study Differential Geometry, Lie Groups, and Symmetric Spaces by Helgason.

In addition, someone recomended Stillwell's Naive Lie Theory as "a great first introduction".

The author is a mathematics professor at Notre Dame.