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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1970 Volume 34, Issue 2, Pages 322–337 (Mi im2418)
This article is cited in 37 papers

Cohomology of the Lie algebra of formal vector fields

I. M. Gel'fand, D. B. Fuchs


Abstract: We calculate the cohomology of the Lie algebra of formal vector fields at the origin in a euclidean space. The results are applied to the investigation of the Lie algebra of tangent vector fields on a smooth manifold.

UDC: 513.88

MSC: 17B56, 17B66, 46E35, 46E10, 51A10

Received: 04.11.1969


 English version: Mathematics of the USSR-Izvestiya, 1970, 4:2, 327–342

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