DERIVATIONS OF A COMBINATORIAL LIE ALGEBRA

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 3,  2014, pp.493-503
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.3.493
Title & Authors
DERIVATIONS OF A COMBINATORIAL LIE ALGEBRA
Choi, Seul Hee;

Abstract
We consider the simple antisymmetrized algebra $\small{N(e^{A_P},n,t)_1^-}$. The simple non-associative algebra and its simple subalgebras are defined in the papers [1], [3], [4], [5], [6], [8], [13]. Some authors found all the derivations of an associative algebra, a Lie algebra, and a non-associative algebra in their papers [2], [3], [5], [7], [9], [10], [13], [15], [16]. We find all the derivations of the Lie subalgebra $\small{N(e^{{\pm}x_1x_2x_3},0,3)_{[1]}{^-}}$ of $\small{N(e^{A_p},n,t)_k{^-}}$ in this paper.
Keywords
simple;combinatorial algebra;antisymmetrized algebra;derivation;lexicographic order;
Language
English
Cited by
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