nLab
special unitary Lie algebra

Context

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 Lie algebra 𝔰𝔲(n)\mathfrak{su}(n) of the special unitary group SU(n)SU(n). Canonically identified with matrices with complex number entries that are skew-hermitean and have vanishing trace.

Revised on December 1, 2017 18:41:32 by Urs Schreiber (46.183.103.8)