arXiv subjects

Munther A. Hassan

Publications and source records attributed to Munther A. Hassan.

3 recordsLinked to original sources

arXiv2010

On Description of Isomorphism Classes of filiform Leibniz algebras in dimensions 7 and 8

The paper concerns the classification problem of a subclass of complex filiform Leibniz algebras in dimensions 7 and 8. This subclass arises from naturally graded filiform Lie algebras. We give a complete list of isomorphism classes of algebras including Lie case. In parametric families cases, the corresponding orbit functions (invariants) are given. In discrete orbits case, we show representatives of the orbits.

math.RA↗

arXiv2010

On one dimensional Leibniz central extensions of a naturally graded filiform Lie algebra

This paper deals with the classification of Leibniz central extensions of a naturally graded filiform Lie algebra. We choose a basis with respect to that the table of multiplication has a simple form. In low dimensional cases isomorphism classes of the central extensions are given. In parametric family orbits cases invariant functions (orbit functions) are provided.

math.RA↗

arXiv2010

On low-dimensional filiform Leibniz algebras and their invariants

The paper deals with the complete classification of a subclass of complex filiform Leibniz algebras in dimensions 5 and 6. This subclass arises from the naturally graded filiform Lie algebras. We give a complete list of algebras. In parametric families cases, the corresponding orbit functions (invariants) are given. In discrete orbits case, we show a representative of the orbits.

math.RA↗