nLab Lie 3-group

Redirected from "Lie 3-groups".

Contents

Definition

A Lie 3-group of 3-Lie group is a 3-truncated ∞-group in ∞LieGrpd.

A smooth 2-crossed module is a model for semistrict Lie 3-groups, Lie Gray groups.

Lie 3-groups coming from Lie 2-crossed modules and morphisms from a path 3-groupoid into their delooping 3-groupoid is discussed in

João Faria Martins, Roger Picken, The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module (arXiv:0907.2566)

Last revised on February 12, 2025 at 22:09:35. See the history of this page for a list of all contributions to it.