2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88091We construct the explicit formula for the (2n+1)-cocycle of the Lie algebra of (pseudo)differential operators on a n-dimensional space. We prove that this formula in fact defines a cocycle for n=1 and n=2.16 pages, 10 Postscript figuresQuantum AlgebraCohomology of the Lie algebras of differential operators: lifting formulastext