Lie group

Etymology
Named for Norwegian mathematician.

Noun

 * 1)  Any group that is a smooth manifold and whose group operations are differentiable.
 * 2) * 1994, Silvio Levy (translator), Albert S. Schwarz, Topology for Physicists, [1989, A. S. Shvarts, Kvantovaya teoriya polya i topologiya], Springer, 1996, 2nd Printing, page 233,
 * Every connected Lie group is homotopically equivalent to its maximal compact subgroup. This reduces the study of the homotopy and homology of Lie groups to the compact case.

Translations

 * Danish: Liegruppe
 * Finnish: Lien ryhmä
 * French:
 * German: Lie-Gruppe, Liesche Gruppe
 * Italian: gruppo di Lie
 * Japanese: リー群
 * Spanish: grupo de Lie