General Mathematics, Vol. 5, No. 1 - 4, pp. 395-400, 1995
Abstract: If $M$ is the quantizing manifold of $ N $, the infinitesimal quantomorphism Lie algebra is isomorphic to $C^\oo(N,\RR)$ with the Poisson bracket and the universal covering of the identity component of the quantomorphism group is a direct Lie group product of the universal covering of the group of Hamiltonian diffeomorphisms on $N$ with $\RR$. All the groups involved are ILH Lie groups as well as regular convenient Lie groups (for the Fr\"olicher-Kriegl differential calculus).
Classification (MSC91): 58D05, 53C15
Keywords: quantizing manifold, quantomorphism, Fr\"olicher-Kriegl differential calculus
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