Vergne, Michele Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes. (French) Zbl 0244.17011 Bull. Soc. Math. Fr. 98, 81-116 (1970). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 ReviewsCited in 136 Documents MSC: 17B30 Solvable, nilpotent (super)algebras 17B55 Homological methods in Lie (super)algebras 17B56 Cohomology of Lie (super)algebras PDF BibTeX XML Cite \textit{M. Vergne}, Bull. Soc. Math. Fr. 98, 81--116 (1970; Zbl 0244.17011) Full Text: DOI Numdam EuDML Online Encyclopedia of Integer Sequences: Number of filiform Lie algebras with a certain grading of dimension n over Z_2. References: [1] CARTAN (H.) and EILENBERG (S.) . - Homological algebra . - Princeton, Princeton University Press, 1956 (Princeton mathematical series, 19). MR 17,1040e | Zbl 0075.24305 · Zbl 0075.24305 [2] GERSTENHABER (M.) . - The cohomology structure of an associative ring , Annals of Math., t. 78, 1963 , p. 267-288. MR 28 #5102 | Zbl 0131.27302 · Zbl 0131.27302 [3] HOCHSCHILD (G.) and SERRE (J.-P.) . - Cohomologie of Lie algebras , Annals of Math., t. 57, 1953 , p. 591-603. MR 14,943c | Zbl 0053.01402 · Zbl 0053.01402 [4] NIJENHUIS (A.) and RICHARDSON (R. W.) . - Cohomology and deformations in graded Lie algebras , Bull. Amer. math. Soc., t. 72, 1966 , p. 1-29. Article | MR 33 #4190 | Zbl 0136.30502 · Zbl 0136.30502 [5] VERGNE (M.) . - Variété des algèbres de Lie nilpotentes . Thèse 3e cycle, Paris, 1966 . MR 33 #7386 · Zbl 0145.25902 [6] VERGNE (M.) . - Réductibilité de la variété des algèbres de Lie nilpotentes , C. R. Acad. Sc. Paris, t. 263, série A, 1966 , p. 4-6. MR 33 #7386 | Zbl 0145.25902 · Zbl 0145.25902 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.