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
Continuous Groups Of Transformationsby Luther Pfahler Eisenhart - Princeton University Press
'Continuous Groups Of Transformations' 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.
(6826 views)
Lie groups and Lie algebrasby 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.
(12419 views)
Lie Groups, Physics, and Geometryby 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.
(12585 views)
An Elementary Introduction to Groups and Representationsby 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.
(19450 views)