**Notes on Classical Groups**

by Peter J. Cameron

**Publisher**: Queen Mary and Westfield College 2000**Number of pages**: 96

**Description**:

These notes are the content of an M.Sc. course the author gave at Queen Mary and Westfield College, London. Contents: 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.

Download or read it online for free here:

**Download link**

(340KB, PDF)

## Similar books

**Lie Groups, Physics, and Geometry**

by

**Robert Gilmore**-

**Drexel University**

The book emphasizes the most useful aspects of Lie groups, in a way that is easy for students to acquire and to assimilate. It includes a chapter dedicated to the applications of Lie group theory to solving differential equations.

(

**6185**views)

**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.

(

**9439**views)

**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.

(

**6676**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.

(

**4196**views)