Lie groups and algebras with applications to physics, geometry, and mechanics/
D.H. Sattinger and O.L. Weaver
- New York: Springer, 1986.
- ix, 215 p. : ill. ; 25 cm.
- (Applied mathematical sciences), v.61 .
A Lie Groups and Algebras -- 1 Lie Groups -- 2 Lie Algebras -- 3 Lie Groups and Algebras: Matrix Approach -- 4 Applications to Physics and Vice Versa -- B Differential Geometry and Lie Groups -- 5 Calculus on Manifolds -- 6 Symmetry Groups of Differential Equations -- 7 Invariant Forms on Lie Groups -- 8 Lie Groups and Algebras: Differential Geometric Approach -- C Algebraic Theory -- 9 General Structure of Lie Algebras -- 10 Structure of Semi-Simple Lie Algebras -- 11 Real Forms -- D Representation Theory -- 12 Representation Theory -- 13 Spinor Representations -- E Applications -- 14 Applications.