**Introductory Treatise On Lie's Theory Of Finite Continuous Transformation Groups**

by John Edward Campbell

**Publisher**: Oxford Clarendon Press 1903**ISBN/ASIN**: 1406720259**Number of pages**: 460

**Description**:

In this treatise an attempt is made to give, in as elementary a form as possible, the main outlines of Lie's theory of Continuous Groups. Even those familiar with the theory of Continuous Groups may find something new in the form in which the theory is here presented.

Download or read it online for free here:

**Download link**

(multiple formats)

## Similar books

**Lie groups and Lie algebras**

by

**N. Reshetikhin, V. Serganova, R. Borcherds**-

**UC Berkeley**

From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.

(

**7634**views)

**Roots of a Compact Lie Group**

by

**Kristopher Tapp**-

**arXiv**

This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions.

(

**3797**views)

**Notes on Classical Groups**

by

**Peter J. Cameron**-

**Queen Mary and Westfield College**

Notes for an M.Sc. course: Fields and vector spaces; Linear and projective groups; Polarities and forms; Symplectic groups; Unitary groups; Orthogonal groups; Klein correspondence and triality; A short bibliography on classical groups.

(

**7837**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 ...

(

**1487**views)