SIFAT TURUNAN PADA ALJABAR LIE AFFINE BERDIMENSI 6

Edi Kurniadi (Departement Matematika FMIPA Unpad)

Epsilon: Jurnal Matematika Murni dan Terapan
Vol 14, No 1 (2020): JURNAL EPSILON VOLUME 14 NOMOR 1

 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