Gelfand-Dorfman algebras, derived identities, and the Manin product of operads

DOI10.1016/j.jalgebra.2019.07.034zbMath1448.17023arXiv1903.02238OpenAlexW2921364368WikidataQ127375295 ScholiaQ127375295MaRDI QIDQ2326444

A. Orazgaliev, B. Sartayev, Pavel Sergeevich Kolesnikov

Publication date: 7 October 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02238

zbMATH Keywords

differential algebraoperadPoisson algebraidentityGelfand-Dorfman Algebra

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Poisson algebras (17B63) Free algebras (08B20)

Related Items (13)

On the embedding of left-symmetric algebras into differential Perm-algebras ⋮ Noncommutative Novikov algebras ⋮ Conformal envelopes of Novikov-Poisson algebras ⋮ The algebraic and geometric classification of transposed Poisson algebras ⋮ Transposed Poisson structures ⋮ Metabelian Lie and perm algebras ⋮ Extending structures for Gel'fand-Dorfman bialgebras ⋮ Koszul duality, minimal model and \(L_\infty \)-structure for differential algebras with weight ⋮ On the Special Identities of Gelfand–Dorfman Algebras ⋮ On pre-Novikov algebras and derived Zinbiel variety ⋮ On universal conformal envelopes for quadratic Lie conformal algebras ⋮ Quadratic Lie conformal superalgebras related to Novikov superalgebras ⋮ Novikov commutator algebras are special

Uses Software

• SINGULAR

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