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The actions of infinite-dimensional Lie algebras. (English. Russian original) Zbl 0267.18023
Funct. Anal. Appl. 6, 9-13 (1972); translation from Funkts. Anal. Prilozh. 6, No. 1, 10-15 (1972).

MSC:
17B56 Cohomology of Lie (super)algebras
17B65 Infinite-dimensional Lie (super)algebras
17B55 Homological methods in Lie (super)algebras
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[1] I. M. Gel’fand and D. B. Fuks, ”Cohomologies of the Lie algebra of tangent vector fields of a smooth manifold,” Funktsional. Analiz i Ego Prilozhen.,3, No. 3, 32-52 (1969).
[2] I. M. Gel’fand and D. B. Fuks, ”Cohomologies of the Lie algebra of tangent vector fields of a smooth manifold. II,” Funktsional. Analiz. i Ego Prilozhen.,4, No. 2, 23-32 (1970).
[3] I. M. Gel’fand and D. B. Fuks, ”Cohomologies of the Lie algebra of formal vector fields,” Izv. Akad. Nauk SSSR. Ser. Matem.,34, 322-337 (1970).
[4] I. M. Gel’fand and D. A. Kazhdan, ”Some questions on differential geometry and the calculation of the cohomologies of the Lie algebras of vector fields,” Dokl. Akad. Nauk SSSR,200, No. 2, 269-272 (1971).
[5] M. V. Losik, ”On the cohomologies of the Lie algebra of vector fields with coefficients in the trivial identity representation,” Funksional. Analiz i Ego Prilozhen.,6, No. 1, 24-36 (1972). · Zbl 0299.58002
[6] H. Cartan, Notions d’algèbre differentielle; application aux groups de Lie et aux varietes ou opere un group de Lie, Coll. de Toplogie, Bruxelles, 1950, Georges Thone, Liege, Masson et Cie., Paris (1951), 15-27.
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