This article is cited in 5 papers

Cohomologically rigid solvable leibniz algebras with nilradical of arbitrary characteristic sequence

U. Kh. Mamadaliev, B. A. Omirov

National University of Uzbekistan named after Mirzo Ulugbek,

Abstract: We describe the $(n+s)$-dimensional solvable Leibniz algebras whose nilradical has characteristic sequence $(m_1,\dots,m_s)$, where $m_1+\dots+m_s=n.$ The completeness and cohomological rigidity of this algebra are proved.

Keywords: Leibniz algebra, solvable algebra, nilradical, rigid algebra, second cohomology group.

UDC: 512.554

MSC: 35R30

Received: 13.03.2019
Revised: 13.01.2020
Accepted: 19.02.2020

DOI: 10.33048/smzh.2020.61.312

 English version: Siberian Mathematical Journal, 2020, 61:3, 504–515

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