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Bulletin of Irkutsk State University. Series Mathematics, 2011, Volume 4, Issue 1, Pages 9–19 (Mi iigum90)  
This article is cited in 1 scientific paper (total in 1 paper)

Local automorphisms and local derivations of nilpotent matrix algebras

A. P. Elisovaa, I. N. Zotova, V. M. Levchuka, G. S. Suleimanovab

a Siberian Federal University, 79, Svobodny Pr., Krasnoyarsk, 660041
b Khakas Technical Institute, 27, Schetinkina Av., Abakan, 655017
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Abstract: We study general properties and ties of local automorphisms and local derivations of nilpotent algebras. Also we construct examples of nontrivial local automorphisms and local derivations of algebra of niltriangular $n\times n$ matrixes (they are completely described in case $n=3$) and corresponding subalgebra in the Chevalley algebras.
Keywords: nilpotent algebra; niltriangular matrix; Chevalley algebra; local derivations; local automorphisms.
Document Type: Article
UDC: 512.54+512.55
Language: Russian
Citation: A. P. Elisova, I. N. Zotov, V. M. Levchuk, G. S. Suleimanova, “Local automorphisms and local derivations of nilpotent matrix algebras”, Bulletin of Irkutsk State University. Series Mathematics, 4:1 (2011), 9–19
Citation in format AMSBIB
\Bibitem{EliZotLev11}
\by A.~P.~Elisova, I.~N.~Zotov, V.~M.~Levchuk, G.~S.~Suleimanova
\paper Local automorphisms and local derivations of nilpotent matrix algebras
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2011
\vol 4
\issue 1
\pages 9--19
\mathnet{http://mi.mathnet.ru/iigum90}
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