 A prime example is the curvature of any connection on "P" which may be regarded as a 2-form on "M" with values in formula_20.The space of sections of the adjoint bundle is naturally an (infinite-dimensional) Lie algebra.It may be regarded as the Lie algebra of the infinite-dimensional Lie group of gauge transformations of "P" which can be thought of as sections of the bundle "P" ×Ψ "G" where Ψ is the action of "G" on itself by conjugation.