MathGloss

The special linear group $\text{SL}(n,\mathbb C)$ (or, over the reals, $\text{SL}(n,\mathbb R)$) is the group of $n\times n$ complex (or real) valued matrices with determinant $1$ together with the operation of matrix multiplication.

This group is a matrix Lie group because it is a subgroup of the general linear group $\text{GL}(n,\mathbb C)$.

Wikidata ID: Q2140900