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Lecomte and Ovsienko constructed SL
n+1(R)-equivariant quantization maps Q for symbols of differential operators on -densities on RP
n
. We derive some formulas for the associated graded equivariant star products on the symbol algebra Pol(T* RP
n
). These give some measure of the failure of locality. Our main result expresses (for n odd) the coefficients C
p
(·,·) of when =
in terms of some new SL
n+1(C)-invariant algebraic bidifferential operators Z
p
(·,·) on T* CP
n
and the operators (E + n/2 ± s)–1 where E is the fiberwise Euler vector field and s {1, 2, ..., [p/2]}. 相似文献
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