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For $(V^\bullet,d)$ a cochain complex in characteristic zero, the cohomology of its graded symmetric dg-algebra should be the graded symmetric algebra on its cohomology
$H^\bullet(Sym(V^\bullet,d)) \;\simeq\; Sym( H^\bullet(V,d) ) \,.$(now recorded at symmetric algebra: here)
I just want to cite this from the literature. This must be a textbook fact (in char = 0 at least); but the only reference I find is this MO discussion here.
Anyone has a more canonical citation (for char = 0) at your fingertips?
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