Classification of derivation algebras in low dimensions
Al-Balawi, Mohammed Guediri and Kholoud . 2018
Abstract. A left-symmetric algebra A is said to be a derivation algebra if all its left and right multiplications are derivations of the Lie algebra associated to A. In this paper, we shall study derivation algebras over IR and then classify almost all those of dimensions < or = 4.
We classify irreducible homogeneous almost Hermite-Lorentz spaces of complex dimension 3, and prove in particular they are geodesically complete.
In this paper, we consider N, a simply connected two-step nilpotent Lie group with L(N), its
corresponding (two-step nilpotent) Lie algebra, and we study Newton’s method for solving the…
Abstract. A bounded operator S on a Hilbert space is hyponormal if S*S-SS* is positive. In this work we find necessary conditions for the hyponormality of the Toeplitz operaor T_f+g^- on the…