a vector space and a -valued zero-form, then Forms with values in an adjoint bundle Let be a smooth principal bundle with structure group and . acts on via adjoint representation and so one can form the associated bundle: Any -valued forms on the base space of are in a natural one-to-one correspondence with any tensorial forms on of adjoint type. See also Maurer–Cartan form Adjoint bundle Notes References External links Wedge Product of Lie Algebra Valued One-Form Differential forms Lie algebras