TY  - BOOK
AU  - Gilmore,Robert
TI  - Lie groups, physics, and geometry: an introduction for physicists, engineers and chemists 
SN  - 9780511791390 (ebook)
AV  - QA387 .G57 2008
U1  - 512.482 22
PY  - 2008///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Lie groups
KW  - Group theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Lie groups -- Matrix groups -- Lie algebras -- Matrix algebras -- Operator algebras -- EXPonentiation -- Structure theory for Lie algebras -- Structure theory for simple Lie algebras -- Root spaces and Dynkin diagrams -- Real forms -- Riemannian symmetric spaces -- Contraction -- Hydrogenic atoms -- Maxwell's equations -- Lie groups and differential equations
N2  - Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields
UR  - https://doi.org/10.1017/CBO9780511791390
ER  -