English

Quadratic algebras related to the bihamiltonian operad

Rings and Algebras 2024-12-27 v3

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.

Keywords

Cite

@article{arxiv.math/0607289,
  title  = {Quadratic algebras related to the bihamiltonian operad},
  author = {Mikhail Bershtein and Vladimir Dotsenko and Anton Khoroshkin},
  journal= {arXiv preprint arXiv:math/0607289},
  year   = {2024}
}

Comments

23 pages, 5 figures; grammar and typesetting corrected