Información del autor
Documentos disponibles escritos por este autor (39)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía ; Goze, M. | Springer | 2007We present all real solvable algebraically rigid Lie algebras of dimension lower or equal than eight. We point out the differences that distinguish the real and complex classification of solvable rigid Lie algebrastexto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía | Elsevier Science | 2006On montre qu’une algèbre de Lie résoluble rigide réelle n’est pas nécessairement complètement résoluble. On construit un exemple n ? t de dimension minimale dont le tore extérieur t n’est pas formé par des dérivations ad-semi-simples surR. Nous [...]texto impreso
In this article the authors study filiform nilpotent Lie algebras n which possess a given torus T of semisimple derivations. The solvable Lie algebras obtained by a semidirect product T?n depend, up to isomorphism, on one or many parameters (con[...]texto impreso
We show the rigidity of a parameterized family of solvable Leibniz non-Lie algebras in arbitrary dimension, obtaining an irreducible component in the variety L epsilon(n) that does not intersect the variety of Lie algebras non-trivially. Moreove[...]texto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; Gonzalez-Gascon, F. | Elsevier | 2003We show that analytic R-3 vector fields having the property of being transversal to either analytic functions or foliations F-2, or parallel. to a foliation, are free from ergodicity and turbulence. The absence of turbulence and ergodicity via i[...]texto impreso
Jacobson’s theorem says that if a finite-dimensiona complex Lie algebra L has a nondegenerate derivation, then L is nilpotent. The converse to this theorem is false. That is, there are nilpotent Lie algebras all of whose derivations are nilpoten[...]texto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig | Universidad de Extremadura, Departamento de Matemáticas | 2001Jacobson proved in 1955 that any Lie algebra over a field of characteristic zero which has nondegenerate derivations is nilpotent. Dixmier and Lister proved in 1957 that the converse is false. They provided an example of a new class of Lie algeb[...]texto impreso
The authors give a complete list of the 7-dimensional complex nilpotent Lie algebras. This classification is obtained by using an invariant of nilpotent Lie algebras, called a characteristic sequence and defined by the maximum of the Segre symbo[...]texto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía | Elsevier | 2011The whole class of complex Lie algebras g having a naturally graded nilradical with characteristic sequence c(g) = (dim g ? 2, 1, 1) is classified. It is shown that up to one exception, such Lie algebras are solvable.texto impreso
In this paper we consider the problem of classifying the (n ? 5)-filiform Lie algebras. This is the first index for which infinite parametrized families appear, as can be seen in dimension 7. Moreover we obtain large families of characteristic n[...]texto impreso
The complete classification of real solvable rigid Lie algebras possessing a nilradical of dimension at most six is given. Eleven new isomorphism classes of indecomposable algebras are obtained. It is further shown that the resulting solvable Li[...]texto impreso
It is shown that for a finite-dimensional solvable rigid Lie algebra r, its rank is upper bounded by the length of the characteristic sequence c(n) of its nilradical n. For any characteristic sequence c = (n(1),..., n(k,) 1), it is proved that t[...]texto impreso
We determine the solvable complete Lie algebras whose nilradical is isomorphic to a filiform Lie algebra. Moreover we show that for any positive integer n there exists a solvable complete Lie algebra whose second cohomology group with values in [...]texto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía ; Sánchez Hernández, J. | Academic Press | 2008-03-15On détermine les classes d’isomorphisme des algèbres de Jordan en dimension deux sur le corps des nombres réels. En utilisant des techniques d’Analyse Non Standard, on étudie les propriétés de la variét des lois d’algèbres de Jordan, et aussi le[...]texto impreso
In this article, we classify the laws of three-dimensional and four-dimensional nilpotent Jordan algebras over the field of complex numbers. We describe the irreducible components of their algebraic varieties and extend contractions and deformat[...]
