Leibniz algebras constructed by Witt algebras
L.M. Camacho, B.A. Omirov, T.K. Kurbanbaev

TL;DR
This paper explores the construction of infinite-dimensional Leibniz algebras linked to the Witt algebra and investigates their cohomological properties, revealing triviality in low-dimensional cohomology groups.
Contribution
It introduces a method to construct Leibniz algebras from Witt algebras and proves the triviality of certain cohomology groups, advancing understanding of their algebraic structure.
Findings
Infinite-dimensional Leibniz algebras associated with the Witt algebra are described.
Low-dimensional Leibniz cohomology groups of the Witt algebra are shown to be trivial.
Provides new insights into the cohomological properties of these algebras.
Abstract
We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.
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
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology
