nLab associative dialgebra

Associative dialgebra is an algebraic structure introduced by Loday and Pirashvili to formalize the structure for the universal enveloping of a Leibniz algebra.

  • Jean-Louis Loday, T. Pirashvili, Universal enveloping algebras of Leibniz algebras and (co)homology, Math. Ann. 296:1 (1993) 139–158

Associative dialgebras are algebras over a Koszul quadratic operad whose Koszul dual is the operad of dendriform dialgebras. In the standard presentation, associative dialgebras have two algebraic operations.

category: algebra

Last revised on May 27, 2023 at 08:37:29. See the history of this page for a list of all contributions to it.