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Solve commutator relation $[Q,d]=-[P,d]$ for $Q$ on chain complexes with scalar product
Suppose we are given chain sequences
$\dots \rightarrow C_k \rightarrow C_{k+1} \rightarrow \dots$
and
$\dots \rightarrow D_k \rightarrow D_{k+1} \rightarrow \dots$
of finite-dimensional vector ...
