Maurer-Cartan form
= Maurer-Cartan form
{c}
{wiki=Maurer–Cartan_form}
For a matrix Lie group, the left-invariant Maurer-Cartan form is $\rho=g^{-1}dg$. It identifies each tangent space with the Lie algebra and obeys $d\rho+\rho\wedge\rho=0$.
= Maurer-Cartan form
{c}
{wiki=Maurer–Cartan_form}
For a matrix Lie group, the left-invariant Maurer-Cartan form is $\rho=g^{-1}dg$. It identifies each tangent space with the Lie algebra and obeys $d\rho+\rho\wedge\rho=0$.