INVARIANT CONNECTIONS IN A NON-ABELIAN PRINCIPAL BUNDLE

Given a transitive action of a symmetry group G on the base space B of a non-Abelian principal bundle P(omega) with a connection omega, we s tudy the way this action can be lifted to a certain action of G on P(o mega) leaving invariant omega. We show that such an action is describe d by a two-cocycle of G with values on the group of identity lifts, H( l). The general properties of these two-cocycles are investigated and some cases for principal bundles with SU(n) as gauge group are worked out. (C) 1994 Academic Press, Inc.