Perfil del autor: Camacho Santana, Luisa María
Datos institucionales
Nombre | Camacho Santana, Luisa María |
Departamento | Matemática Aplicada I |
Área de conocimiento | Matemática Aplicada |
Categoría profesional | Catedrática de Universidad |
Correo electrónico | Solicitar |
Estadísticas
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Nº publicaciones
57
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Nº visitas
3807
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Nº descargas
4294
Publicaciones |
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Artículo
Local Superderivations on Solvable Lie and Leibniz Superalgebras
(Springer, 2023)
Throughout this paper, we show on one hand, that there are nilpotent and solvable Lie superalgebras with infinitely many ... |
Artículo
Zinbiel superalgebras
(Electronic Journals Project, 2023)
Throughout the present work, we extend the study of Zinbiel algebras to Zinbiel superalgebras. In particular, we show that ... |
Artículo
Central extensions of some solvable Leibniz superalgebras
(ScienceDirect, 2023)
This work is devoted to the study of central extensions of some solvable Leibniz superalgebras. We show that a solvable ... |
Artículo
Residually solvable extensions of pro-nilpotent Leibniz superalgebras
(Elsevier, 2022)
Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given ... |
Artículo
On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical
(Elsevier, 2022)
Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras with ... |
Tesis Doctoral
Clasificación y estudio de extensiones centrales de ciertas álgebras no asociativas
(2021)
La clasificación de álgebras es un importante problema en el Álgebra Moderna. En estos trabajos de investigación, nos ... |
Artículo
On Leibniz Superalgebras with Even Part Corresponding to sl2
(Springer, 2021)
In this paper we describe finite-dimensional complex Leibniz superalgebras whose even part is the simple Leibniz algebra ... |
Artículo
Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras
(Cornell University, 2021)
We classify, up to equivalences, all abelian groups gradings on null-filiform and oneparametric filiform Leibniz algebras. ... |
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 ... |
Artículo
Some cohomologically rigid solvable Leibniz algebras
(Elsevier, 2020)
In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with ... |
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. ... |
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 ... |
Artículo
The variety of dual mock-Lie algebras
(Sciendo, 2020)
We classify all complex7- and8-dimensional dual mock-Lie al-gebras by the algebraic and geometric way. Also, we find all non-trivialcomplex9-dimensional dual mock-Lie algebras |
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 ... |
Artículo
One-generated nilpotent Novikov algebras
(Taylor and Francis, 2020)
We give a classification of 5- and 6-dimensional complex one-generated nilpotent Novikov algebras. |
Artículo
Solvable Leibniz algebras with naturally graded non-Lie p-filiform nilradicals whose maximal complemented space of its nilradical
(Taylor and Francis, 2019)
The present article is a part of the study of solvable Leibniz algebras with a given nilradical. In this paper solvable ... |
Artículo
On the property of subalgebras of evolution algebras
(Springer, 2019)
In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of ... |
Artículo
Leibniz Algebras Constructed by Representations of General Diamond Lie Algebras
(Springer, 2019)
In this paper we construct a minimal faithful representation of the (2m + 2)- dimensional complex general Diamond Lie ... |
Artículo
Leibniz algebras constructed by Witt algebras
(Taylor and Francis, 2018)
We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself. |
Artículo
Classical properties of algebras using a new graph association
(Cornell University, 2017)
We study the relation between algebraic structures and Graph Theory. We have de ned ve di erent weighted digraphs associated ... |
Artículo
Leibniz Algebras Whose Semisimple Part is Related to sl2
(Springer, 2017)
In this paper we identify the structure of complex finite-dimensional Leibniz algebras with associated Lie algebras ... |
Artículo
Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
(Elsevier, 2017)
In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz ... |
Artículo
Solvable Leibniz algebras with NFn⊕ F1m nilradical
(De Gruyter, 2017)
All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ F1m as the nilradical and the dimension of L equal to ... |
Artículo
3-filiform Leibniz algebras of maximum length
(Springer, 2016)
This work completes the study of the solvable Leibniz algebras, more precisely, it completes the classi cation of the 3- ... |
Artículo
Leibniz algebras associated with some finite-dimensional representation of Diamond Lie algebra
(IOPScience, 2016)
In this paper we classify Leibniz algebras whose associated Lie algebra is four-dimensional Diamond Lie algebra and the ... |
Artículo
Solvable Leibniz Algebras with Filiform Nilradical
(Springer, 2016)
In this paper we continue the description of solvable Leibniz algebras whose nilradical is a filiform algebra. In fact, ... |
Artículo
Leibniz algebras of Heisenberg type
(Elsevier, 2016)
We introduce and provide a classification theorem for the class of Heisenberg-Fock Leibniz algebras. This category of ... |
Artículo
Leibniz algebras associated with representations of filiform Lie algebras
(Elsevier, 2015)
In this paper we investigate Leibniz algebras whose quotient Lie algebra is a naturally graded filiform Lie algebra nn,1. ... |
Artículo
Leibniz Algebras Associated to Extensions of sl 2
(Taylor and Francis, 2015)
In this work, we investigate the structure of Leibniz algebras whose associated Lie algebra is a direct sum of sl2 and the ... |
Artículo
Naturally graded Zinbiel algebras with nilindex n - 3
(Elsevier, 2014)
We present the classification of a subclass of n-dimensional naturally graded Zinbiel algebras. This subclass has the ... |
Artículo
p-Filiform Leibniz algebras of maximum length
(Elsevier, 2014)
The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p 3) Leibniz algebras ... |
Artículo
Complex Nilpotent Leibniz Superalgebras with Nilindex Equal to Dimension
(Taylor and Francis, 2013)
We present the description up to isomorphism of Leibniz superalgebras with the characteristic sequence equal to n m1 ... |
Artículo
Leibniz algebras of nilindex n-3 with characteristic sequence (n-3, 2, 1)
(Elsevier, 2013)
In this paper we present the classification of a subclass of naturally graded Leibniz algebras. This subclass has the ... |
Artículo
The derivations of some evolution algebras
(Taylor and Francis, 2013)
In this work we investigate the derivations of n−dimensional complex evolution algebras, depending on the rank of the ... |
Artículo
Some properties of evolution algebras
(Korea Institute of Science and Technology Information, 2013)
The paper is devoted to the study of finite dimensional complex evolu- tion algebras. The class of evolution algebras ... |
Artículo
p-Filiform Zinbiel algebras
(Elsevier, 2013)
The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform ... |
Tesis Doctoral
Álgebras de Leibniz de longitud máxima
(2012)
Las álgebras no asociativas aparecen a principios del siglo XX como consecuencia del desarrollo de la Mecánica Cuántica. ... |
Artículo
On the description of Leibniz superalgebras of nilindex n+m
(Walter de Gruyter GmbH, 2012)
In this work we investigate the complex Leibniz superalgebras with characteristic sequence (n1, . . . , nk|m) and nilindex ... |
Artículo
Leibniz algebras with associated Lie algebras sl_2\dot{+} R (dim R=2)
(Cornell University, 2011)
From the theory of finite dimensional Lie algebras it is known that every finite dimensional Lie algebra is decomposed ... |
Artículo
On the description of Leibniz algebras with nilindex n−3
(Akadémiai Kiadó, 2011)
In this paper we present the classification of a subclass of natu- rally graded Leibniz algebras. These n-dimensional Leibniz algebras have the characteristic sequence equal to (n−3, 3). For this purpose we use the software Mathematica. |
Artículo
Quasi-filiform Leibniz algebras of maximum length
(Springer, 2011)
The n-dimensional p-filiform Leibniz algebras of maximum length have already been studied with 0 p 2. For Lie algebras ... |
Artículo
Naturally Graded 2-Filiform Leibniz Algebras
(Taylor and Francis, 2010)
The Leibniz algebras appear as a generalization of the Lie algebras [8]. The classification of naturally graded p-filiform ... |
Artículo
Naturally graded (n-3)--filiform Leibniz algebras
(Elsevier, 2010)
Naturally graded nilpotent p-filiform Leibniz algebras are studied for p > n − 4, where n is the dimension of the algebra. Using linear algebra methods we describe the naturally graded (n − 3)-filiform Leibniz algebras. |
Artículo
Classification of some nilpotent class of leibniz superalgebras
(Springer, 2010)
The aim of this work is to present the description of Leibniz superalgebras up to isomorphism with characteristic sequence (n|m − 1, 1) and nilindex n + m. |
Artículo
The Classification of Naturally Graded p-Filiform Leibniz Algebras
(Taylor and Francis, 2010)
In the present article the classification of n-dimensional naturally graded p-filiform (1 ≤ p ≤ n − 4) Leibniz algebras ... |
Artículo
Naturally graded quasi-filiform Leibniz algebras
(Elsevier, 2009)
The classification of naturally graded quasi-filiform Lie algebras is known; they have the characteristic sequence .n - ... |
Artículo
Heisenberg superalgebras
(Taylor and Francis, 2009)
Heisenberg algebras are the only Lie algebras (g, [, ]) which verify [g, g] = Z(g) and dim(Z(g)) = 1, where Z denotes the ... |
Artículo
On Filiform and 2-Filiform Leibniz Algebras of Maximum Length
(Heldermann Verlag, 2008)
Leibniz algebras appear as a generalization of Lie algebras. The classification of naturally graded p-filiform Lie algebras ... |
Artículo
On complex nilpotent Leibniz superalgebras of nilindex n+m
(Cornell University, 2008)
We present the description up to isomorphism of Leibniz superal- gebras with characteristic sequence (n|m1, . . . ,mk) and nilindex n+m, where m = m1 + · · · + mk, n and m (m 6= 0) are dimensions of even and odd parts, respectively. |
Artículo
Mathematica and Heisenberg Type Superalgebras
(Heldermann Verlag, 2006)
With the support of software Mathematica 4.0 we obtain important properties of Heisenberg type superalgebras, this type ... |
Artículo
About a family of naturally graded no p-filiform lie algebras
(Universidad de Extremadura, 2005)
|
Tesis Doctoral
Graduaciones naturales de álgebras de Leibniz
(2004)
Las álgebras de Leibniz fueron introducidas por Loday hace apenas una década y constituyen, en un cierto sentido, una ... |
Artículo
Algebra of derivations of Lie algebras
(Elsevier, 2001)
We show a method to determine the space of derivations of any Lie algebra, and in particular we apply this method to a ... |
Artículo
Cohomology of some Nilpotent Lie Algebras
(Universidad de Extremadura, 2000)
|
Artículo
A class of nilpotent lie algebras
(Taylor and Francis, 2000)
A p-filiform Lie algebra g is a nilpotent Lie algebra for which Goze’s invariant is (n–p,1,…,1). These Lie algebras are ... |
Artículo
3-filiform Lie algebras of dimension 8
(L'université Blaise Pascal, 1999)
We give, up to isomorphism and in dimension 8, all the 3-filiform Lie algebras (whose Goze’s invariant is (n - 3,1,1,1)).. |
Tesis Doctoral
Algebras de Lie p-filiformes
(1999)
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