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Статья

Quadratic algebras related to the bihamiltonian operad

International Mathematics Research Notices. 2007. Vol. 24. P. 1-30.
Khoroshkin A., Dotsenko V., Bershtein M.

We prove the conjectures on dimensions and characters of some quadratic algebras stated by B.L.Feigin. It turns out that these algebras are naturally isomorphic to the duals of the components of the bihamiltonian operad.