Lie groups, named after the Norwegian mathematician Sophus Lie (1842-1899), stand at the intersection of several different branches of mathematics: algebra, analysis, geometry and topology. They are defined as groups that have the additional geometric...

In mathematics, a Lie group (pronounced /ˈliː/, sounds like "Lee"), is a group which is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure. They are named after the nineteenth century...