Algebras over Cobar(coFrob)

Mathematics – Quantum Algebra

Scientific paper

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24 pages, revised version

Scientific paper

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.

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