Lie group

(redirected from Complex Lie group)

Lie group

[′lē ‚grüp]
(mathematics)
A topological group which is also a differentiable manifold in such a way that the group operations are themselves analytic functions.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Integrable Hamiltonian systems on complex Lie groups.
Jurdjevic covers Cartan decomposition and the generalized elastic problems, the maximum principle and the Hamiltonians, the left-invariant symplectic form, symmetries and the conservation laws, complex Lie groups and complex Hamiltons, complexified elastic problems, complex elasticae of Euler and its n-dimensional extensions, Cartan algebras, root spaces and extra integrals of motion, and elastic curves in the cases of Lagrange and Kowalewski.
Mislin, Cohomology of classifying spaces of complex Lie groups and related discrete groups, Comment.

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