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DERIVATIONS OF A COMBINATORIAL LIE ALGEBRA

Choi, Seul Hee

  • Received : 2014.04.30
  • Accepted : 2014.07.01
  • Published : 2014.09.25

Abstract

We consider the simple antisymmetrized algebra $N(e^{A_P},n,t)_1^-$. 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 $N(e^{{\pm}x_1x_2x_3},0,3)_{[1]}{^-}$ of $N(e^{A_p},n,t)_k{^-}$ in this paper.

Keywords

simple;combinatorial algebra;antisymmetrized algebra;derivation;lexicographic order

References

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