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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 641–653
DOI: https://doi.org/10.33048/smzh.2020.61.312 (Mi smj6007) 		 
This article is cited in 3 scientific papers (total in 3 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,
Full-text PDF (449 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2020.61.312
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.
Received: 13.03.2019
Revised: 13.01.2020
Accepted: 19.02.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 504–515
DOI: https://doi.org/10.1134/S003744662003012X
Bibliographic databases:
Document Type: Article
UDC: 512.554
MSC: 35R30
Language: Russian
Citation: U. Kh. Mamadaliev, B. A. Omirov, “Cohomologically rigid solvable leibniz algebras with nilradical of arbitrary characteristic sequence”, Sibirsk. Mat. Zh., 61:3 (2020), 641–653; Siberian Math. J., 61:3 (2020), 504–515
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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