nLab
category of Lie algebras

Definition

The category whose objects are Lie algebras and morphisms are homomorphisms of Lie algebras.

Properties

As a variety of algebras, the category of Lie algebras admits all small limits and colimits. The forgetful functor to the category of sets creates? all small limits and sifted colimits.

Created on March 28, 2021 at 02:55:40. See the history of this page for a list of all contributions to it.