SIFAT TURUNAN PADA ALJABAR LIE AFFINE BERDIMENSI 6

Edi Kurniadi

doi:10.20527/epsilon.v14i1.2198

SIFAT TURUNAN PADA ALJABAR LIE AFFINE BERDIMENSI 6

Edi Kurniadi

Abstract

In this paper we study that any derivation of affine Lie algebra of dimension 6, denoted by , is inner. We give another approach to prove it by direct computations of transformation matrix of derivation of . We show that transformation matrix for the derivation of any element in equals to transformation matrix of adjoint representation of its element. Furthermore, we give an alternative to prove that is Frobenius Lie algebra.

Keywords :Affine Lie algebra, Derivation of a Lie algebra, Frobenius Lie algebra

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DOI: https://doi.org/10.20527/epsilon.v14i1.2198