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All Journal Epsilon: Jurnal Matematika Murni dan Terapan
Edi Kurniadi
Departement Matematika FMIPA Unpad
Decision Sciences, Operations Research & Management Transportation

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SIFAT TURUNAN PADA ALJABAR LIE AFFINE BERDIMENSI 6 Edi Kurniadi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 14, No 1 (2020): JURNAL EPSILON VOLUME 14 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (258.535 KB) | DOI: 10.20527/epsilon.v14i1.2198

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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