nLab G(3)

Context

Exceptional structures

Group Theory

Lie theory

∞-Lie theory (higher geometry)

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Related topics

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Super-Algebra and Super-Geometry

Contents

Idea

G(3)G(3) is an exceptional super Lie algebra (not to be confused with Dwyer-Wilkerson H-space, the homotopy Lie group sometimes denoted G 3G_3).

References

  • Boris Kruglikov, Andrea Santi, Dennis The: G(3)G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation, Advances in Mathematics 376 (2021) supergeometry and a supersymmetric extension of the Hilbert-Cartan equation [doi:10.1016/j.aim.2020.107420, arXiv:1908.09106]

Last revised on July 1, 2026 at 12:49:48. See the history of this page for a list of all contributions to it.