Abstract
Let M be a smooth manifold of dimension 2n, and let OM be the dense open subbundle in ∧2 T*M of 2-covectors of maximal rank. The algebra of Diff M -invariant smooth functions of first order on OM is proved to be isomorphic to the algebra of smooth Sp(Ωx)-invariant functions on , x being a fixed point in M , and Ωx a fixed element in (OM ) x . The maximum number of functionally independent invariants is computed.
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