Geodesic
Homology of the Lie Algebra of Vector Fields on the Line with Coefficients in Symmetric Powers of its Adjoint Representation
Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 2, pp. 13-19 Cet article a éte moissonné depuis la source Math-Net.Ru

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We compute the homology of the Lie algebra $W_1$ of (polynomial) vector fields on the line with coefficients in symmetric powers of its adjoint representation. We also list the results obtained so far for the homology with coefficients in tensor powers and, in turn, use them for partially computing the homology of the Lie algebra of $W_1$-valued currents on the line. 
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     author = {V. V. Dotsenko},
     title = {Homology of the {Lie} {Algebra} of {Vector} {Fields} on the {Line} with {Coefficients} in {Symmetric} {Powers} of its {Adjoint} {Representation}},
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V. V. Dotsenko. Homology of the Lie Algebra of Vector Fields on the Line with Coefficients in Symmetric Powers of its Adjoint Representation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 2, pp. 13-19. http://geodesic.mathdoc.fr/item/FAA_2006_40_2_a1/

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