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Matematicheskie Zametki, 2012, Volume 91, Issue 3, Pages 400–406
DOI: https://doi.org/10.4213/mzm8520 (Mi mzm8520) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Filtered Deformations of Lie Algebras of the Series $\mathscr{R}$

M. I. Kuznetsov, A. A. Ladilova

N. I. Lobachevski State University of Nizhni Novgorod
Full-text PDF (458 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8520
Abstract: In the paper, the rigidity with respect to the filtered deformations of the exceptional Lie algebras of the series $\mathscr{R}$ over an algebraically closed field of characteristic $3$ is proved.
Keywords: algebraically closed field, exceptional Lie algebra, simple graded Lie algebra, filtered deformation, Melikyan algebra, Weil algebra.
Received: 20.07.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 3, Pages 378–383
DOI: https://doi.org/10.1134/S0001434612030078
Bibliographic databases:
Document Type: Article
UDC: 512.554.31
Language: Russian
Citation: M. I. Kuznetsov, A. A. Ladilova, “Filtered Deformations of Lie Algebras of the Series $\mathscr{R}$”, Mat. Zametki, 91:3 (2012), 400–406; Math. Notes, 91:3 (2012), 378–383
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    1. A. A. Ladilova, “On the existence of deformations of Lie algebras of $Z$ series”, Russian Math. (Iz. VUZ), 59:4 (2015), 20–27  mathnet  crossref
    2. A. A. Ladilova, “O deformatsiyakh algebr Li serii $Z$”, Chebyshevskii sb., 14:4 (2013), 138–145  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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