Geodesic
Cohomologies of the Lie Algebra of Vector Fields on a Line
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 147-160

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Providing adequate mathematical tools, we find cohomologies of the Lie algebra of smooth vector fields on a line with coefficients in the trivial, natural, and adjoint representations. We construct the generalized series of complexes and calculate the corresponding cohomologies. 
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     author = {V. V. Zharinov},
     title = {Cohomologies of the {Lie} {Algebra} of {Vector} {Fields} on a {Line}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a0/}
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V. V. Zharinov. Cohomologies of the Lie Algebra of Vector Fields on a Line. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 147-160. http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a0/