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Gel’fand, I. M.; Fuks, D. B.

Cohomologies of Lie algebra of vector fields with nontrivial coefficients. (English. Russian original) Zbl 0222.58001

Funct. Anal. Appl. 4, 181-192 (1970); translation from Funkts. Anal. Prilozh. 4, No. 3, 10-25 (1970).
Reviewer: W. T. van Est
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Cited in 6 Documents

MSC:

57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology
17B56 Cohomology of Lie (super)algebras
17B66 Lie algebras of vector fields and related (super) algebras
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\textit{I. M. Gel'fand} and \textit{D. B. Fuks}, Funct. Anal. Appl. 4, 181--192 (1970; Zbl 0222.58001); translation from Funkts. Anal. Prilozh. 4, No. 3, 10--25 (1970)
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References:

[1] I. M. Gel’fand and D. B. Fuks, ”Cohomologies of Lie algebra of tangential 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 Lie algebra of tangential vector fields of a smooth manifold. II,” Funktsional’. Analiz i Ego Prilozhen.,4, No. 2, 23-31 (1970).
[3] I. M. Gel’fand and D. B. Fuks, ”Cohomologies of Lie algebra of formal vector fields,” Izv. AN SSSR, seriya matem.,34, No. 2, 322-337 (1970).
[4] M. V. Losik, ”On the cohomologies of infinite dimensional Lie algebras of formal vector fields,” Funktsional’. Analiz i Ego Prilozhen.,4, No. 2, 43-53 (1970).
[5] H. Cartan and S. Eilenberg, Cohomological Algebra [Russian translation], IL, Moscow (1960).
[6] J. P. Serre and C. Hochshild, Cohomology of group extensions, Trans. Amer. Math. Soc.,74 (1953), 110-134. · Zbl 0050.02104
[7] D. B. Fuks, ”Spectral Sequences of Fibers,” Uspekhi Matem. Nauk,21, No. 5, 149-181 (1966).
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