Abstract
We expose here some results which are obtained by a team at the University of Dijon. This team included Jean-Claude Cortet, Georges Pinczon and myself.
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References
A. Nijenhuis and R. Richardson: “Cohomology and deformations in graded Lie algebras”. Bull. Amer. Math. Soc. 72(1966) 1.29.
M. Gerstenhaber: “On the deformations of rings and algebras”. Ann. of Math. 79 (1964) pp. 59–104.
G. Hochschild and J.P. Serre: “Cohomology of Lie algebras” Ann. of Math. 57 (1958) pp. 591–603.
M. Levy-Nahas: “Deformation and contraction of Lie algebras” J.M.P. vol. 8 n°6 (1967) pp. 1211–1223.
C. Chevalley and S. Eilenberg: “Cohomology theory of Lie groups and Lie algebras” Trans. Amer. Math. Soc. vol. 63 (1948) pp. 85–124.
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© 1983 D. Reidel Publishing Company
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Arnal, D. (1983). Simultaneous Deformations of a Lie Algebra and its Modules. In: Cahen, M., De Wilde, M., Lemaire, L., Vanhecke, L. (eds) Differential Geometry and Mathematical Physics. Mathematical Physics Studies, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7022-9_1
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DOI: https://doi.org/10.1007/978-94-009-7022-9_1
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