nLab
translation Lie algebra

Contents

Definition

Given a vector space VV, the abelian Lie algebra on VV, hence the Lie algebra with vanishing Lie bracket, may be thought of as the Lie algebra of VV regarded as an additive abelian Lie group. As such it is the translation Lie algebra of VV.

Examples

Last revised on August 31, 2013 at 04:12:32. See the history of this page for a list of all contributions to it.