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Modules over Hopf Algebras and $E_2$-algebras

Let $A$ be a brace algebra and $B$ the Koszul dual bialgebra. There is a natural adjunction $$ \Omega\colon \mathrm{CoMod}_B\rightleftarrows \mathrm{LMod}_A $$ where, for instance, the functor $\mathr …
Pavel Safronov's user avatar