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Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers, and Chemists Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers, and Chemists , Robert Gilmore Cambridge U. Press, New York, 2008. $80.00 (319 pp.). ISBN 978-0-521-88400-6
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Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers, and Chemists Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers, and Chemists , Robert Gilmore Cambridge U. Press, New York, 2008. $80.00 (319 pp.). ISBN 978-0-521-88400-6

Robert Gilmore
Physics today, v 62, pp 55-56
01 Mar 2009
url
https://doi.org/10.1063/1.3099582View
Published, Version of Record (VoR) Open

Abstract

Adjoint representation of a Lie algebra Killing form Lie conformal algebra Lie group Lie theory Physics Pure mathematics Representation of a Lie group Representation theory Simple Lie group
1. Introduction 2. Lie groups 3. Matrix groups 4. Lie algebras 5. Matrix algebras 6. Operator algebras 7. Exponentiation 8. Structure theory for Lie algebras 9. Structure theory for simple Lie algebras 10. Root spaces and Dykin diagrams 11. Real forms 12. Riemannian symmetric spaces 13. Contraction 14. Hydrogenic atoms 15. Maxwell's equations 16. Lie groups and differential equations References Index.

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