Article

Leibniz algebras constructed by Witt algebras

L.M. CamachoDpto. Matemática Aplicada I., Universidad de Sevilla, Sevilla, SpainB. A. OmirovDepartment of Algebra and Functional Analysis, National University of Uzbekistan, Tashkent, UzbekistanT. K. KurbanbaevInstitute of Mathematics of Uzbek Academy of Sciences, Tashkent, Uzbekistan

Linear and Multilinear Algebrajournal2018en

ABI

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.

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Homotopy and Cohomology in Algebraic Topology

Identifiers

DOI: 10.1080/03081087.2018.1480704

Citations and references

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