Thank you for your response.
The reference that you give is indeed the eventual result required, but my query relates to the algebraic establishment of this via the general result (e.g. Wikipedia, "Exterior Algebra" section 4.2 on Direct Sums which starts
"In particular, the exterior algebra...
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Hi,
I am edging my way towards Dolbeault cohomology on a complex manifold and one of the constructions involves taking the kth exterior product of a direct sum (the decomposition of the cotangent bundle into holomorphic and antiholomorphic subspaces). This relies on a...