2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50283The covariant descripion is constructed for the Wick-type symbols on symplectic manifolds by means of the Fedosov procedure. The geometry of the manifolds admitting this symbol is explored. The superextended version of the Wick-type star-product is introduced and a possible application of the construction to the noncommutative field theory is discussed.Talk given at the International Conference "Quantization, Gauge Theory and Strings" dedicated to the memory of Professor E.S. FradkinHigh Energy Physics - TheoryQuantum Algebratext