On the algebra generated by μ ¯ , ∂ ¯ , ∂ , μ \overline{\mu },\overline{\partial },\partial ,\mu

Abstract In this note, we determine the structure of associative algebra generated by differential operators μ ¯ , ∂ \overline{\mu },\overline{\partial },\partial , and \mu that act on complex-valued forms almost complex manifolds. This is done showing it universal enveloping graded Lie these determining corresponding algebra. We then cohomology with respect to its canonical inner [ d − ] \left[d,-] as well all differentials.