Group Theory and Differential Equations
A.O. Barut(Author)
J.R.R. Zeni(Editor)
World Scientific Publishing Co Pte Ltd
Published on 30. September 1999
Book
Hardback
250 pages
978-981-02-2656-5 (ISBN)
Description
This volume contains the lecture notes of a course delivered by the late Professor A.O. Barut at the University of Colorado at Boulder in 1994 for graduate physics students. It is aimed at an audience of theoretical physicists working in field theory and related areas who are looking for a condensed study of mathematical topics. It should also be of interest to mathematicians working in differential geometry, group theory or differential equations and related areas who are looking for applications of their research subject.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
ISBN-13
978-981-02-2656-5 (9789810226565)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Content
Part 1 Group theory: Galiliean group and group properties; extensions and foliations of groups; the proper rotation subgroup, SO(3); homomorphism between SO(3) and SU(2); reflections and the orthogonal group, O(3). Part 2 Lie algebra and manifolds: introduction to Lie algebras and manifolds; generation of Lie algebras from Lie groups; the adjoint space. Part 3 Differential forms and their applications: differential forms; classical dynamics; electrodynamics; generalized Stokes theorem. Part 4 Lie groups and differential equations: Lie group analysis of differential equations; Lie's first theorem - differential equations and group action; conformal group, its nonlinear action and its associated differential equations; conformal symmetry and space-time; group representation theory and related algebras.