Rack-Bialgebras and Star-Products on duals of Leibniz algebras
Rack-Bialgebras and Star-Products on duals of Leibniz algebras
In this paper we focus on a certain self-distributive multiplication on coalgebras, which leads to so-called rack bialgebra. Inspired by semi-group theory (adapting the Suschkewitsch theorem), we do some structure theory for rack bialgebras and cocommutative Hopf dialgebras. We also construct canonical rack bialgebras (some kind of enveloping algebras) for …