Maurer–Cartan form (source code)

= Maurer–Cartan form
{wiki=Maurer–Cartan_form}

The Maurer–Cartan form is a fundamental concept in the theory of Lie groups and differential geometry, particularly in the study of Lie group representations and the geometry of principal bundles. Given a Lie group \\( G \\), the Maurer–Cartan form is a differential 1-form on the Lie group that captures information about the group structure in terms of its tangent space.