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, 2011, Volume 4, Issue 1,Pages <nobr>9

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Local automorphisms and local derivations of nilpotent matrix algebras

A. P. Elisova^a, I. N. Zotov^a, V. M. Levchuk^a, G. S. Suleimanova^b

^a Siberian Federal University, 79, Svobodny Pr., Krasnoyarsk, 660041
^b Khakas Technical Institute, 27, Schetinkina Av., Abakan, 655017

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.

UDC: 512.54+512.55