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Matematicheskie Zametki, 2012, Volume 91, Issue 2, Pages 200–213
DOI: https://doi.org/10.4213/mzm8772 (Mi mzm8772) 		 
This article is cited in 22 scientific papers (total in 22 papers)

$\delta$-Superderivations of Semisimple Finite-Dimensional Jordan Superalgebras

I. Kaygorodov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (497 kB) Citations (22)
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DOI: https://doi.org/10.4213/mzm8772
Abstract: In the paper, a complete description of the $\delta$-derivations and the $\delta$-superderivations of semisimple finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic $p \ne 2$ is given. In particular, new examples of nontrivial $(1/2)$-derivations and odd $(1/2)$-superderivations are given that are not operators of right multiplication by an element of the superalgebra.
Keywords: semisimple finite-dimensional Jordan superalgebra, $\delta$-derivation, $\delta$-superderivation, algebraically closed field.
Received: 07.01.2010
Revised: 20.12.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 2, Pages 187–197
DOI: https://doi.org/10.1134/S0001434612010208
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: I. Kaygorodov, “$\delta$-Superderivations of Semisimple Finite-Dimensional Jordan Superalgebras”, Mat. Zametki, 91:2 (2012), 200–213; Math. Notes, 91:2 (2012), 187–197
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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