nLab semisimple Lie group

Context

\infty-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

Contents

Definition

A Lie group is semisimple if its Lie algebra is a semisimple Lie algebra.

References

  • A. W. Knapp, Structure theory of semisimple Lie groups, 1997 (pdf)

Last revised on May 16, 2024 at 16:07:51. See the history of this page for a list of all contributions to it.