﻿

# Lie group

Any of many analytic groups that are also a smooth manifold; they arise as groups of rotational symmetries

Wikipedia foundation.

### Look at other dictionaries:

• Lie group — Lie groups …   Wikipedia

• lie group — noun Usage: usually capitalized L Etymology: Sophus Lie : a topological group for which the coordinates of the product of two elements are functions of the coordinates of the elements themselves and the coordinates of the inverse of an element… …   Useful english dictionary

• Lie group — Li grupė statusas T sritis fizika atitikmenys: angl. Lie group vok. Lie Gruppe, f rus. группа Ли, f pranc. groupe de Lie, m …   Fizikos terminų žodynas

• Lie group — /lee/, Math. a topological group that is a manifold. [1935 40; after M. S. LIE] * * * …   Universalium

• Lie group decomposition — In mathematics, Lie group decompositions are used to analyse the structure of Lie groups and associated objects, by showing how they are built up out of subgroups. They are essential technical tools in the representation theory of Lie groups and… …   Wikipedia

• Simple Lie group — Lie groups …   Wikipedia

• List of Lie group topics — This is a list of Lie group topics, by Wikipedia page. Examples See Table of Lie groups for a list *General linear group, special linear group **SL2(R) **SL2(C) *Unitary group, special unitary group **SU(2) **SU(3) *Orthogonal group, special… …   Wikipedia

• Representation of a Lie group — In mathematics and theoretical physics, the idea of a representation of a Lie group plays an important role in the study of continuous symmetry. A great deal is known about such representations, a basic tool in their study being the use of the… …   Wikipedia

• Poisson–Lie group — In mathematics, a Poisson–Lie group is a Poisson manifold that is also a Lie group, with the group multiplication being compatible with the Poisson algebra structure on the manifold. The algebra of a Poisson–Lie group is a Lie… …   Wikipedia

• Lie algebra representation — Lie groups …   Wikipedia