3-filiform Lie algebras of dimension 8

L.M. Camacho; J.R. Gómez; R.M. Navarro

Annales mathématiques Blaise Pascal (1999)

  • Volume: 6, Issue: 2, page 1-13
  • ISSN: 1259-1734

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Camacho, L.M., Gómez, J.R., and Navarro, R.M.. "3-filiform Lie algebras of dimension 8." Annales mathématiques Blaise Pascal 6.2 (1999): 1-13. <http://eudml.org/doc/79210>.

@article{Camacho1999,
author = {Camacho, L.M., Gómez, J.R., Navarro, R.M.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {filiform algebra; nilpotent Lie algebra; classification; characteristic sequence},
language = {eng},
number = {2},
pages = {1-13},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {3-filiform Lie algebras of dimension 8},
url = {http://eudml.org/doc/79210},
volume = {6},
year = {1999},
}

TY - JOUR
AU - Camacho, L.M.
AU - Gómez, J.R.
AU - Navarro, R.M.
TI - 3-filiform Lie algebras of dimension 8
JO - Annales mathématiques Blaise Pascal
PY - 1999
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 6
IS - 2
SP - 1
EP - 13
LA - eng
KW - filiform algebra; nilpotent Lie algebra; classification; characteristic sequence
UR - http://eudml.org/doc/79210
ER -

References

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  1. [1] J.M. Ancochea, M. Goze, Classification des algèbres de Lie nilpotentes complexes de dimension 7, Archiv. Math., 52:2, pp. 175-185, 1989. Zbl0672.17005MR985602
  2. [2] J.M. Ancochea, M. Goze, Classification des algèbres de Lie filiformes de dimension 8, Archiv. Math., 50, 511-525, 1988. Zbl0628.17005MR948265
  3. [3] J.M. Cabezas, L.M. Camacho, J.R. Gómez, R.M. Navarro, A class of nilpotent Lie algebras, To appear inCommunications in Algebra. Zbl0970.17007
  4. [4] J.M. Cabezas, J.R. Gómez, Generación de la familia de leyes de álgebras de Lie (n - 5)-filiformes en dimensión cualquiera, Meeting on Matrix Analysis and its Applications, 109-116, Sevilla, 1997. 
  5. [5] J.M. Cabezas, J.R. Gómez, (n-4)-filiform Lie algebras, Communications in Algebra, vol 27, 1999. Zbl0934.17003MR1709234
  6. [6] J.M. Cabezas, J.R. Gómez, A. Jiménez-Merchán, Family of p-filiform Lie algebras, In Algebra and Operator Theory, 1997. Khakimdjanov Y.Goze, M.Sh. Ayupov, 93-102, Kluwer Academic Publishers, 1998. Zbl0924.17005MR1643423
  7. [7] L.M. Camacho, J.R. Gómez, R.M. Navarro, (n-5)-filiform Lie algebras up to dimension 7, Preprint of Departamento Matemática Aplicada I, Universidad de Sevilla. MA1-03-99IX. 
  8. [8] J.R. Gómez, F.J. Echarte, Classification of complex filiform Lie algebras of dimension 9, Rend. Sem. Fac. Sc. Univ. Cagliari, 61:1, 21-29, 1991. Zbl0790.17004MR1165068
  9. [9] J.R. Gómez, M. Goze, Y. Khakimdjanov, On the k-abelian filiform Lie algebras, Communications in Algebra, 25(2), 431-450, 1997. Zbl0866.17009MR1428788
  10. [10] J.R. Gómez, A. Jiménez-Merchán, Y. Khakimdjanov, Low-dimensional filiform Lie algebras, Journal of Pure and Applied Algebra, 130(2), 133-158, 1998. Zbl0929.17004MR1635083
  11. [11] M. Goze, Y. Khakimdjanov, Nilpotent Lie Algebras, Kluwer Academic Publishers, 1996. Zbl0845.17012MR1383588
  12. [12] Y. Hakimdjanov (Khakimdjanov), Variété des lois d'algèbres de Lie nilpotentes, Geometriae Dedicata, 40, 229-295, 1991. Zbl0742.17016MR1137083
  13. [13] V. Morosov, Classification of nilpotent Lie algebras of sixth order, Izv. Vysch. U. Zaved. Mat., 4(5), 161-171, 1958. Zbl0198.05501MR130326

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