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

P. S. Kolesnikov, B. Sartayev, A. Orazgaliev

Gelfand--Dorfman bialgebras (GD-algebras) are nonassociative systems with two bilinear operations satisfying a series of identities that express Hamiltonian property of an operator…