Structure of perfect Lie algebras without center and outer derivations

Saïd Benayadi

Annales de la Faculté des sciences de Toulouse : Mathématiques (1996)

  • Volume: 5, Issue: 2, page 203-231
  • ISSN: 0240-2963

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Benayadi, Saïd. "Structure of perfect Lie algebras without center and outer derivations." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.2 (1996): 203-231. <http://eudml.org/doc/73383>.

@article{Benayadi1996,
author = {Benayadi, Saïd},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {sympathetic Lie algebra; sympathetic ideals; sympathetic radical},
language = {eng},
number = {2},
pages = {203-231},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Structure of perfect Lie algebras without center and outer derivations},
url = {http://eudml.org/doc/73383},
volume = {5},
year = {1996},
}

TY - JOUR
AU - Benayadi, Saïd
TI - Structure of perfect Lie algebras without center and outer derivations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1996
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 2
SP - 203
EP - 231
LA - eng
KW - sympathetic Lie algebra; sympathetic ideals; sympathetic radical
UR - http://eudml.org/doc/73383
ER -

References

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  1. [An] Angelopoulos ( E.) .— Algèbres de Lie satisfaisant g = [g, g], Der(g) = adg, C.R. Acad. Sci.Paris, 306 (1988), pp. 523-525. Zbl0647.17006MR941616
  2. [AnBe] Angelopoulos ( E.) and Benayadi ( S.) .— Constructions d'algèbres de Lie sympathiques non semi-simples munies de produits scalaires invariants, C.R. Acad. Sci.Paris, 317 (1993), pp. 741-744. Zbl0823.17004MR1244422
  3. [ABBP] Arnal ( D.), Benamor ( H.), Benayadi ( S.) and Pinczon ( G.) .— Une algèbre de Lie non semi-simple vérifiant H1 (g) = H2 (g) = H0 (g, g) = H1 (g, g) = H2 (g, g) = {0}, C.R. Acad. Sci.Paris, 315 (1992), pp. 261-263. Zbl0765.17005MR1179716
  4. [Bel] Benayadi ( S.) .— Certaines propriétés d'une classe d'algèbres de Lie qui généralisent les algèbres de Lie semi-simples. Ann. Fac. Sci. Toulouse, Vol. XII, 1 (1991), pp. 29-35. Zbl0748.17006MR1189432
  5. [Be2] Benayadi ( S.) Thèse, Université de Bourgogne1993. 
  6. [Bo] Bourbaki ( N.) .— Groupes et algèbres de Lie, Hermann, Paris, chap. 1 (1971). Zbl0213.04103MR271276
  7. [Si] Simon ( J.) Private communication. 

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