Quadratic algebras related to the bi-Hamiltonian operad

Mikhail Bershtein, Vladimir Dotsenko, Anton Khoroshkin

Research output: Contribution to journalArticlepeer-review


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 bi-Hamiltonian operad.

Original languageEnglish
Article numberrnm122
JournalInternational Mathematics Research Notices
StatePublished - 2007
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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