idUS - Perfil del autor: Camacho Santana, Luisa María

Nombre	Camacho Santana, Luisa María
Departamento	Matemática Aplicada I
Área de conocimiento	Matemática Aplicada
Categoría profesional	Catedrática de Universidad
Correo electrónico	Solicitar

Nº publicaciones

57
Nº visitas

3807
Nº descargas

4292

Tipología

Orden

Publicaciones
Artículo Local Superderivations on Solvable Lie and Leibniz Superalgebras Camacho Santana, Luisa María; Navarro, Rosa María; Omirov, Bakhrom Abdazovich (Springer, 2023) Throughout this paper, we show on one hand, that there are nilpotent and solvable Lie superalgebras with infinitely many ...
Artículo Zinbiel superalgebras Camacho Santana, Luisa María; Fernández Ouaridi, Amir; Kaygorodov, Ivan; Navarro Olmo, Rosa María (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 Camacho Santana, Luisa María; Navarro Olmo, Rosa María; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Navarro, Rosa María; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Navarro, R. M.; Omirov, Bakhrom Abdazovich (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 Kaygorodov, Ivan; Camacho Santana, Luisa María (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 Camacho Santana, Luisa María; Navarro, R. M. (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 Calderón, Antonio Jesús; Camacho Santana, Luisa María; Kaygorodov, Ivan; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Navarro, R. M.; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Kaygorodov, Ivan; Omirov, Bakhrom Abdazovich; Solijanova, Gulkhayo (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 Camacho Santana, Luisa María; Karimjanov, Iqboljon A.; Kaygorodov, Ivan; Khudoyberdiyev, Abror Kh. (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 Camacho Santana, Luisa María; Navarro, R. M.; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Kaygorodov, Ivan; Lopatkin, Viktor; Salim, Mohamed A. (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 Camacho Santana, Luisa María; Navarro, R. M.; Sánchez, J. M. (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 Camacho Santana, Luisa María; Karimjanov, Iqboljon A.; Kaygorodov, Ivan; Khudoyberdiyev, Abror Kh. (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 Adashev, J.Q.; Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Khudoyberdiyev, Abror Kh.; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Karimjanov, Iqboljon A.; Ladra, M.; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich; Kurbanbaev, T.K. (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 Aquino, R. M.; Camacho Santana, Luisa María; Cañete Molero, Elisa María; Márquez Pérez, Alberto (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 Camacho Santana, Luisa María; Gómez Vidal, S.; Omirov, Bakhrom Abdazovich; Karimjanov, Iqboljon A. (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 Adashev, J.K.; Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich; Masutova, K. K.; Rikhsiboev, Ikrom M. (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 Camacho Santana, Luisa María; Cañete Molero, Elisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Ladra, Manuel; Karimjanov, Iqboljon A.; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich; Masutova, K. K. (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 Calderón, Antonio J.; Camacho Santana, Luisa María; Omirov, Bakhrom Abdazovich (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 Ayupov, Sh. A.; Camacho Santana, Luisa María; Khudoyberdiyev, Abror Kh.; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Gómez Vidal, S.; Omirov, Bakhrom Abdazovich (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 Adashev, J.Q.; Camacho Santana, Luisa María; Gómez Vidal, S.; Karimjanov, Iqboljon A. (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 Camacho Santana, Luisa María; Cañete Molero, Elisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich; Khudoyberdiyev, Abror Kh. (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) Camacho Santana, Luisa María; Cañete, E. M.; Gómez Martín, José Ramón; Redjepov, Sh. B. (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich; Turdibaev, R. M. (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich; Turdibaev, R.M. (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 Camacho Santana, Luisa María; Cañete Molero, Elisa María; Gómez Vidal, S.; Omirov, Bakhrom Abdazovich (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 Cañete Molero, Elisa María; Camacho Santana, Luisa María (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Khudoyberdiyev, Abror Kh.; Omirov, Bakhrom Abdazovich (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) Camacho Santana, Luisa María; Gómez Vidal, S.; Omirov, Bakhrom Abdazovich (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 Cabezas, J. M.; Camacho Santana, Luisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Cañete Molero, Elisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; González, A.J.; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro Olmo, Rosa María; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; González, A. J.; Omirov, Bakhrom Abdazovich (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; González, A. J.; Omirov, Bakhrom Abdazovich (Elsevier, 2009) The classification of naturally graded quasi-filiform Lie algebras is known; they have the characteristic sequence .n - ...
Artículo Heisenberg superalgebras Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R. M. (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 Cabezas, J. M.; Camacho Santana, Luisa María; Rodríguez, I. M. (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Omirov, Bakhrom Abdazovich; Khudoyberdiyev, Abror Kh. (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R. M.; Rodríguez, I. (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; González Regaña, Alfonso José (Universidad de Extremadura, 2005)
Tesis Doctoral Graduaciones naturales de álgebras de Leibniz González Regaña, Alfonso José; Camacho Santana, Luisa María; Gómez Martín, José Ramón (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R. M. (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro Olmo, Rosa María (Universidad de Extremadura, 2000)
Artículo A class of nilpotent lie algebras Cabezas, J. M.; Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R.M. (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón; Navarro, R.M. (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 Camacho Santana, Luisa María; Gómez Martín, José Ramón (1999)

Perfil del autor: Camacho Santana, Luisa María

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