Martin Bordemann, Eckhard Meinrenken, Martin Schlichenmaier
Toeplitz Quantization of Kaehler Manifolds
and gl(N), N to infty limits. (rev.)
(51K, AMSTEX)
ABSTRACT. For general compact Kaehler manifolds it is shown that
both Toeplitz quantization and geometric quantization
lead to a well-defined (by operator norm estimates)
classical limit. This generalizes earlier results
of the authors and Klimek and Lesniewski obtained for the
torus and higher genus Riemann surfaces, respectively.
We thereby arrive at an approximation of the Poisson algebra
by a sequence of finite-dimensional matrix algebras
gl(N) , N to infty.