Geodesic
Deformations of the Infinite-Dimensional Lie Algebra $L_3$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 3, pp. 75-81

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For the nilpotent infinite-dimensional Lie algebra $L_3$, we compute the second cohomology group $H^2(L_3,L_3)$ with coefficients in the adjoint module. Nontrivial cocycles are found in closed form, and Massey powers are computed for them.
Keywords: infinite-dimensional graded Lie algebra, homology of Lie algebra. 
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     title = {Deformations of the {Infinite-Dimensional} {Lie} {Algebra} $L_3$},
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Yu. Yu. Kochetkov. Deformations of the Infinite-Dimensional Lie Algebra $L_3$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 3, pp. 75-81. http://geodesic.mathdoc.fr/item/FAA_2006_40_3_a9/