nLab
unitary Lie algebra

Context

Lie theory

∞-Lie theory

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 𝔲(n)\mathfrak{u}(n) of the unitary group U(n)U(n). Canonically identified with matrices with complex number entries that are skew-hermitean.

Revised on November 2, 2012 16:36:19 by Urs Schreiber (80.187.201.44)