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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Some cohomologically rigid solvable Leibniz algebras

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Author(s):
Camacho, Luisa M. [1] ; Kaygorodov, Ivan [2] ; Omirov, Bakhrom [3] ; Solijanova, Gulkhayo [4]
Total Authors: 4
Affiliation:
[1] Univ Seville, Dept Matemat Aplicada 1, Avda Reina Mercedes S-N, Seville 41012 - Spain
[2] Univ Fed ABC, CMCC, Santo Andre, SP - Brazil
[3] Uzbek Acad Sci, Inst Math, 81 Mirzo Ulugbek St, Tashkent 100041 - Uzbekistan
[4] Natl Univ Uzbekistan, 4 Univ St, Tashkent 100174 - Uzbekistan
Total Affiliations: 4
Document type: Journal article
Source: Journal of Algebra; v. 560, p. 502-520, OCT 15 2020.
Web of Science Citations: 0
Abstract

In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of its nilpotent radical. We prove that such Leibniz algebra is unique and centerless. Also it is proved that the first and the second cohomology groups of the algebra with coefficients in the adjoint representation is trivial. (C) 2020 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 18/15712-0 - Conservative algebras and superalgebras
Grantee:Ivan Kaygorodov
Support Opportunities: Regular Research Grants
FAPESP's process: 18/12196-0 - Deformations of Leibniz algebras
Grantee:Ivan Kaygorodov
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 18/12197-7 - Description of solvable Leibniz algebras
Grantee:Ivan Kaygorodov
Support Opportunities: Research Grants - Visiting Researcher Grant - International