A continuous Group with an infinite number of elements such that the parameters of a product element are Analytic Functions. Lie groups are also Manifolds with the restriction that the group operation maps a map of the Manifold into itself. Examples include , , and the Lorentz Group.

**References**

Arfken, G. ``Infinite Groups, Lie Groups.'' *Mathematical Methods for Physicists, 3rd ed.*
Orlando, FL: Academic Press, p. 251-252, 1985.

Chevalley, C. *Theory of Lie Groups.* Princeton, NJ: Princeton University Press, 1946.

Knapp, A. W. *Lie Groups Beyond an Introduction.* Boston, MA: Birkhäuser, 1996.

Lipkin, H. J. *Lie Groups for Pedestrians, 2nd ed.* Amsterdam, Netherlands: North-Holland, 1966.

© 1996-9

1999-05-25