Displaying similar documents to “Algebraic characterizations of the algebra of functions and of the Lie algebra of vector fields of a manifold”

Dual vector fields ii: calculating the Jacobian

Philip Feinsilver, René Schott (2006)

Banach Center Publications

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Given a Lie algebra with a chosen basis, the change of coordinates relating coordinates of the first and second kinds near the identity of the corresponding local group yields some remarkable vector fields and dual vector fields. One family of vector fields is dual to a representation of the Lie algebra acting on a Fock-type space. To this representation an abelian family of dual vector fields is associated. The exponential of these commuting operators acting on an appropriate vacuum...