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Artículo
Complex cyclic Leibniz superalgebras
(Springer, 2020)
Since Loday introduction of Leibniz algebras as a generalisation of Lie algebras, many results of the theory of Lie algebras have been extended to Leibniz algebras. Cyclic Leibniz algebras, which are generated by one ...
Artículo
Central extensions of filiform Zinbiel algebras
(Taylor and Francis, 2020)
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of an n-dimensional null- filiform Zinbiel ...
Artículo
On Solvable Lie and Leibniz Superalgebras with maximal codimension of nilradical
(Cornell University, 2020)
Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras with maximal codimension of nilradical is also extensible to Lie and Leibniz superalgebras, respectively. ...
Artículo
Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid
(ScienceDirect, 2020-09)
This paper1 presents two new direct symbolic-numerical algorithms for the transformation of Cartesian co ordinates into geodetic coordinates considering the general case of a triaxial reference ellipsoid. The problem in ...
Artículo
On Naturally Graded Lie and Leibniz Superalgebras
(Springer, 2020)
In general, the study of gradations has always represented a cornerstone in the study of non-associative algebras. In particular, natural gradation can be considered to be the first and most relevant gradation of nilpotent ...