nLab
special linear Lie algebra

Contents

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,

For kk a field and nn a natural number, the special linear Lie algebra 𝔰𝔩(n,k)\mathfrak{sl}(n,k) is the Lie algebra of trace-free n×nn\times n-matrices with entries in kk, with Lie bracket being the commutator of matrix multiplication.

Examples

Last revised on December 4, 2019 at 09:16:19. See the history of this page for a list of all contributions to it.