Artículo
Some cohomologically rigid solvable Leibniz algebras
Autor/es | Camacho Santana, Luisa María
Kaygorodov, Ivan Omirov, Bakhrom Abdazovich Solijanova, Gulkhayo |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2020 |
Fecha de depósito | 2021-07-05 |
Publicado en |
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Resumen | In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of its nilpotent radical. We prove that such ... In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of its nilpotent radical. We prove that such Leibniz algebra is unique and centerless. Also it is proved that the first and the second cohomology groups of the algebra with coefficients in the adjoint representation is trivial. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | MTM2016-79661-P |
Cita | Camacho Santana, L.M., Kaygorodov, I., Omirov, B.A. y Solijanova, G. (2020). Some cohomologically rigid solvable Leibniz algebras. Journal of Algebra, 560 (October 2020), 502-520. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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1908.02360.pdf | 188.5Kb | [PDF] | Ver/ | |
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