dc.creator | Ceballos González, Manuel | es |
dc.creator | Núñez Valdés, Juan | es |
dc.creator | Tenorio Villalón, Ángel Francisco | es |
dc.date.accessioned | 2016-05-27T11:58:48Z | |
dc.date.available | 2016-05-27T11:58:48Z | |
dc.date.issued | 2010-01 | |
dc.identifier.citation | Ceballos González, M., Núñez Valdés, J. y Tenorio Villalón, Á.F. (2010). The computation of Abelian subalgebras in low-dimensional solvable Lie algebras. Wseas Transactions on Mathematics, 9 (1), 22-31. | |
dc.identifier.issn | 1109-2769 | es |
dc.identifier.issn | 2224-2880 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41629 | |
dc.description.abstract | The main goal of this paper is to compute the maximal abelian dimension of each solvable nondecomposable Lie algebra of dimension less than 7. To do it, we apply an algorithmic method which goes ruling out non-valid maximal abelian dimensions until obtaining its exact value. Based on Mubarakzyanov and Turkowsky’s classical classifications of solvable Lie algebras (see [13] G.M. Mubarakzyanov: Classification of real structures of Lie algebras of fifth order. Izv. Vyss. Ucebn. Zaved. Matematika 3:34, 1963, pp. 99-106.
and [19] P. Turkowski: Solvable Lie algebras of dimension six. J. Math. Phys. 31, 1990, pp. 1344-1350) and the classification of 6-dimensional nilpotent Lie algebras by Goze and Khakimdjanov [7] M. Goze and Y. Khakimdjanov: Nilpotent and solvable Lie algebras. In M. Hazewinkel (ed.):
Handbook of Algebra Vol 2. Elsevier, Amsterdam, 2000, pp. 615–664, we have explicitly computed the maximal abelian dimension for the algebras given in those classifications. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | World Scientific and Engineering Academy and Society (WSEAS) | es |
dc.relation.ispartof | Wseas Transactions on Mathematics, 9 (1), 22-31. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Solvable Lie algebra | es |
dc.subject | maximal abelian dimension | es |
dc.title | The computation of Abelian subalgebras in low-dimensional solvable Lie algebras | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
idus.format.extent | 10 p. | es |
dc.journaltitle | Wseas Transactions on Mathematics | es |
dc.publication.volumen | 9 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 22 | es |
dc.publication.endPage | 31 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41629 | |