# Commutator meaning

*ghg*

^{−1}

*h*

^{−1}where

*g*and

*h*are elements of the group. If

*g*and

*h*commute, the commutator is the identity element.

*ghg*

^{−1}

*h*

^{−1}where

*g*and

*h*are elements of the group or algebra. If

*g*and

*h*

**commute**, the commutator is the identity element. The commutator is often written [

*g*,

*h*].