On a Remarkable Class of Left-symmetric Algebras and its Relationship with the Class of Novikov Algebras
قديري, محمد علي . 2016
Abstract. We discuss locally simply transitive affine actions of Lie groups G on finite-dimensional
vector spaces such that the commutator subgroup GG is acting by translations.
In other words, we consider left-symmetric algebras satisfying the identity [x, y] · z =0
We derive some basic characterizations of such left-symmetric algebras, and we
highlight their relationships with the so-called Novikov algebras and derivation algebras.
We classify irreducible homogeneous almost Hermite-Lorentz spaces of complex dimension 3, and prove in particular they are geodesically complete.
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…