**Introduction to Lie Groups, Adjoint Action and Some Generalizations**

by Marcos M. Alexandrino, Renato G. Bettiol

**Publisher**: arXiv 2010**Number of pages**: 129

**Description**:

The main purpose of these lecture notes is to provide a concise introduction to Lie groups, Lie algebras, and isometric and adjoint actions, aiming mostly at advanced undergraduate and graduate students. A special focus is given to maximal tori and roots of compact Lie groups, exploring its connection with isoparametric submanifolds and polar actions.

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