Quadratic algebras related to the bihamiltonian operad

Mathematics – Rings and Algebras

Scientific paper

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23 pages, 5 figures; grammar and typesetting corrected

Scientific paper

10.1093/imrn/rnm122

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.

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