nLab
infinite-dimensional Lie group

Contents

Context

Group 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

A group object in infinite-dimensional smooth manifolds is an infinite-dimensional Lie group.

If the underlying type of manifolds is Banach manifold, then one speaks of Banach-Lie groups, etc.

Examples

References

Last revised on September 19, 2021 at 12:59:01. See the history of this page for a list of all contributions to it.