JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 3, Pages 503 - 518
(December 2004)
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AN
n-LIE ALGEBRA OF BLOCK TYPE
Toshiharu Ikeda (Japan)
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Abstract: In this paper an n-Lie
algebra Vn(G)
of Block type is presented as a generalization
of a Block algebra. We investigate the structure
and the derivation algebra of Vn(G).
Especially a criterion for the simplicity of the
n-Block algebra Bn(G).
in Vn(G).
and explicit forms of their derivations are
described. |
Keywords and phrases: n-Lie algebra, n-Block
algebra, derivation. |
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