Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

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1. [1] CARTAN (H.) and EILENBERG (S.). — Homological algebra. — Princeton, Princeton University Press, 1956 (Princeton mathematical series, 19). Zbl0075.24305MR17,1040e
2. [2] GERSTENHABER (M.). — The cohomology structure of an associative ring, Annals of Math., t. 78, 1963, p. 267-288. Zbl0131.27302MR28 #5102
3. [3] HOCHSCHILD (G.) and SERRE (J.-P.). — Cohomologie of Lie algebras, Annals of Math., t. 57, 1953, p. 591-603. Zbl0053.01402MR14,943c
4. [4] NIJENHUIS (A.) and RICHARDSON (R. W.). — Cohomology and deformations in graded Lie algebras, Bull. Amer. math. Soc., t. 72, 1966, p. 1-29. Zbl0136.30502MR33 #4190
5. [5] VERGNE (M.). — Variété des algèbres de Lie nilpotentes. Thèse 3e cycle, Paris, 1966. Zbl0145.25902MR33 #7386
6. [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. Zbl0145.25902MR33 #7386

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