**Continuous Groups Of Transformations**

by Luther Pfahler Eisenhart

**Publisher**: Princeton University Press 1933**ISBN/ASIN**: 1406760390**Number of pages**: 319

**Description**:

This book sets forth the general theory of Lie and his contemporaries and the results of recent investigations with the aid of the methods of the tensor calculus and concepts of the new differential geometry. The first three chapters contain in the main the results of the first period.

Download or read it online for free here:

**Download link**

(multiple formats)

## Similar books

**Group Theory: Birdtracks, Lie's, and Exceptional Groups**

by

**Predrag Cvitanovic**-

**Princeton University Press**

A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.

(

**13145**views)

**Lectures on Discrete Subgroups of Lie Groups**

by

**G.D. Mostow**-

**Tata Institute of Fundamental Research**

Contents: Preliminaries; Complexification of a real Linear Lie Group; Intrinsic characterization of K* and E; R-regular elements; Discrete Subgroups; Some Ergodic Properties of Discrete Subgroups; Real Forms of Semi-simple Algebraic Groups; etc.

(

**7179**views)

**An Elementary Introduction to Groups and Representations**

by

**Brian C. Hall**-

**arXiv**

An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.

(

**16698**views)

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

by

**Marcos M. Alexandrino, Renato G. Bettiol**-

**arXiv**

These lecture notes provide a concise introduction to Lie groups, Lie algebras, and isometric and adjoint actions, aiming at advanced undergraduate and graduate students. A special focus is given to maximal tori and roots of compact Lie groups.

(

**8821**views)