nLab
Lie algebra representation

Contents

Context

Representation theory

Lie theory

∞-Lie theory (higher geometry)

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Contents

Idea

The representation/action of a Lie algebra 𝔤\mathfrak{g} on a vector space VV.

Definition

A Lie algebra homomorphism 𝔤end(V)\mathfrak{g} \to end(V) to the endomorphism Lie algebra of VV.

Last revised on February 26, 2018 at 13:40:09. See the history of this page for a list of all contributions to it.