p-filiform Zinbiel algebras
L.M. Camacho, E.M. Ca\~nete, S. G\'omez-Vidal, B.A. Omirov
TL;DR
This paper classifies a specific subclass of finite-dimensional Zinbiel algebras, called p-filiform, showing that under certain conditions, only one family exists up to isomorphism.
Contribution
It provides a classification of naturally graded p-filiform Zinbiel algebras, identifying the unique family under the hypothesis n-p ≥ 4.
Findings
Existence of a unique family of naturally graded p-filiform Zinbiel algebras under specified conditions
Classification results for finite-dimensional Zinbiel algebras
Clarification of the structure of p-filiform Zinbiel algebras
Abstract
The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Leibniz algebra in Koszul sense. We prove that there exists, up to isomorphism, only one family of naturally graded p-filiform Zinbiel algebras under hypothesis
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology