Quadratic algebras related to the bihamiltonian operad

Abstract

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.

23 pages, 5 figures; grammar and typesetting corrected

References in corpus (2)

• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• Character formulas for the operad of two compatible brackets and for the bihamiltonian operad

Cited by in corpus (6)

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