Quadratic Algebras Related to the Bi-Hamiltonian Operad

Mikhail Bershtein, Vladimir Dotsenko, Anton Khoroshkin
2007 International mathematics research notices  
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.
doi:10.1093/imrn/rnm122 fatcat:n5t7gf2m6jb75ch6x4ab3jb7ma