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

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.
(11768 views)

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.
(20563 views)

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 ...
(6607 views)

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.
(16800 views)