Let be the Lie algebra of the semi-direct sum of the real vector space and the Lie algebra of
the sets of all real matrices. In this paper, a Frobenius functional is constructed in order for …

In this paper, we study the quasi-associative algebra property for the real Frobenius Lie
algebra of dimension 18. The work aims to prove that is a quasi-associative algebra and to …

Aljabar Lie su (N) mempunyai kompleksifikasi sl (N, C). Dengan kata lain, suNC≅ sl (N, C).
Dalam artikel ini, dipelajari representasi aljabar Lie su (N) dan sl (N, C) khususnya untuk N …

In this paper, we study notion of the Lie algebra of dimension 6. The finite dimensional Lie
algebra can be expressed in terms of decomposition between Levi subalgebra and the …

We discuss the classification of 2-solvable Frobenius Lie algebras. We show that they
always split as a semidirect sum of a vector space V of dimension n and an ndimensional …

Let 𝔊 be the Galilean Lie algebra in 2+ 1 space-times. It is known that there is no faithful
representation of 𝔊 given by derivations with homogeneous coefficients of degree 1 on the …

Dalam penelitian ini dipelajari aljabar Lie affine aff (3) berdimensi 12 yang merupakan
jumlah semi langsung dari ruang vektor matriks berukuran 3x1 dan aljabar Lie matriks …

Two operators F and G are considered unitary quasi-equivalent if there exists a unitary
operator U satisfying the conditions F∗ F= UG∗ GU∗ and FF∗= UGG∗ U∗. This concept …

Dalam artikel ini, dibahas tentang sifat-sifat aljabar Lie real dari grup Lie similitude
berdimensi 4 termasuk struktur affine yang termuat di dalamnya. Tujuannya adalah untuk …

Dalam artikel ini dipelajari symplectic form suatu aljabar Lie berdimensi kecil. Symplectif
form sangat penting dalam mengklasifikasikan tipe-tipe aljabar Lie. Berdasarkan dimensi …