**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.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Introduction to Lie Groups and Lie Algebras**

by

**Alexander Kirillov, Jr.**-

**SUNY at Stony Brook**

The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.

(

**13117**views)

**Lie Groups in Physics**

by

**G. 't Hooft, M. J. G. Veltman**-

**Utrecht University**

Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.

(

**13716**views)

**An Introduction to Lie Group Integrators**

by

**E. Celledoni, H. Marthinsen, B. Owren**-

**arXiv**

The authors give a short and elementary introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, a family of symplectic integrators on cotangent bundles of Lie groups is presented ...

(

**4359**views)

**An Introduction to the Lie Theory of One-Parameter Groups**

by

**Abraham Cohen**-

**D.C. Heath & co**

The object of this book is to present in an elementary manner, in English, an introduction to Lie s theory of one-parameter groups, with special reference to its application to the solution of differential equations invariant under such groups.

(

**4312**views)