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Listar por autor "Camacho Santana, Luisa María"
Mostrando ítems 21-40 de 57
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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. ...
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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 ...
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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 ...
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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.
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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 ...
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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 ...
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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 ...
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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 ...
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Local Superderivations on Solvable Lie and Leibniz Superalgebras
Camacho Santana, Luisa María; Navarro, Rosa María; Omirov, Bakhrom Abdazovich (Springer, 2023-01-21)Throughout this paper, we show on one hand, that there are nilpotent and solvable Lie superalgebras with infinitely many ...
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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 ...
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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.
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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 ...
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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 - ...
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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 ...
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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.
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...