Algebras over $\cobar(\cofrob)$

Gabriel C. Drummond-Cole, John Terilla and Thomas Tradler

We show that a square zero, degree one element in $W(V)$, the Weyl algebra on a vector space $V$, is equivalent to providing $V$ with the structure of an algebra over the properad $\cobar(\cofrob)$, the properad arising from the cobar construction applied to the cofrobenius coproperad.

Journal of Homotopy and Related Structures, Vol. 5(2010), No. 1, pp. 15-36