On the classification of rigid Lie algebras
| dc.contributor.author | Goze, Michel | |
| dc.contributor.author | Ancochea Bermúdez, José María | |
| dc.date.accessioned | 2023-06-20T18:42:58Z | |
| dc.date.available | 2023-06-20T18:42:58Z | |
| dc.date.issued | 2001-11-01 | |
| dc.description.abstract | After having given the classification of solvable rigid Lie algebras of low dimensions, we study the general case concerning rigid Lie algebras whose nilradical is filiform and present their classification. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/20942 | |
| dc.identifier.doi | 10.1006/jabr.2001.8880 | |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0021869301988805 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58409 | |
| dc.journal.title | Journal of Algebra | |
| dc.language.iso | eng | |
| dc.page.final | 91 | |
| dc.page.initial | 68 | |
| dc.publisher | Academic Press | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512.554.3 | |
| dc.subject.keyword | rigid Lie algebra | |
| dc.subject.keyword | filiform Lie algebra | |
| dc.subject.ucm | Álgebra | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | On the classification of rigid Lie algebras | |
| dc.type | journal article | |
| dc.volume.number | 245 | |
| dcterms.references | J. M. Ancochea Bermudez, On the rigidity of solvable Lie algebras, in “Deformation Theory of Algebras and Structures and Applications,” pp. 403–445, Kluwer Academic, Dordrecht, 1988. J. M. Ancochea Bermudez and M. Goze, Le rang du système linéaire des racines d’une algèbre de lie résoluble rigide, Commun. Algebra 20 (1992), 875–887. J. M. Ancochea Bermudez and M. Goze, Algèbres de Lie rigides, Indag. Math. 88 (1985), 397–415. J. M. Ancochea Bermudez and M. Goze, Nonrationality of rigid Lie algebras, Proc. Amer. Math. Soc. 127, No. 9 (1999), 2611–2618. J. M. Ancochea Bermudez and M. Goze, Algèbres de Lie rigides, in “Algebra and Operator Theory,” pp. 65–92, Kluwer, Dordrecht, 1998. R. Carles, Sur les structures des algèbres de Lie rigides, Ann. Inst. Fourier 34 (1984), 65–82. M. Gerstenhaber, On the deformations of rings and algebras, Ann. Math. 74, No. 1 (1964), 59–103. 8. M. Goze and Y. Khakimdjanov, “Nilpotent Lie Algebras,” Mathematics and Its Applications, Vol. 361, Kluwer Academic, Dordrecht, 1996. M. Goze and Y. Khakimdjanov, Sur les algèbres de Lie nilpotentes admettant un tore de dérivations, Manuscripta Math. 84 (1994), 115–224. J. R. Gomez, A. Jimenez Merchan, and Y. Khakimdjanov, Low dimensional filiform Li algebras, J Pure Appl. Algebra 30 (1998), 133–158. A. Nijenhuis and R. W. Richardson, Cohomology and deformation of algebraic structures, Bull. Amer. Math. Soc. 70 (1964), 406–411. G. Seeley, Classification of seven dimensional nilpotent Lie algebras, Trans. Amer. Math. Soc. 335, No. 2 (1993), 479–496 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8afd7745-e428-4a77-b1ff-813045b673fd | |
| relation.isAuthorOfPublication.latestForDiscovery | 8afd7745-e428-4a77-b1ff-813045b673fd |
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