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单词 Lie Group
释义

Lie Group

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

See also Compact Group, Lie Algebra, Lie Groupoid, Lie-Type Group, Nil Geometry, Sol Geometry


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.


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