We derive a closed formula for a star-product on complex projective space and
on the domain SU(n+1)/S(U(1)×U(n)) using a completely elementary
construction: Starting from the standard star-product of Wick type on Cn+1∖{0} and performing a quantum analogue of Marsden-Weinstein
reduction, we can give an easy algebraic description of this star-product.
Moreover, going over to a modified star-product on Cn+1∖{0},
obtained by an equivalence transformation, this description can be even further
simplified, allowing the explicit computation of a closed formula for the
star-product on \CP^n which can easily transferred to the domain
SU(n+1)/S(U(1)×U(n)).Comment: LaTeX, 17 page