Lie group

(redirected from Infinite dimensional 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.
References in periodicals archive ?
Among their topics are spherical varieties and perspectives in representation theory, on toric degenerations of flag varieties, derived categories of quasi-hereditary algebras and their derived composition series, bounded and semi-bounded representations of infinite dimensional Lie groups, and geometric invariant theory for principal three-dimensional subgroups acting on flag varieties.
The interplay between geometry, group theory, and fundamental physics is the terrain in which mathematicians explore probability, foundations of quantum mechanics, quantum error correcting codes, finite and infinite dimensional Lie groups and algebras and their representations, super Lie groups and supergeometry, and supersymmetry.