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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FAA_2006_40_3_a9,
     author = {Yu. Yu. Kochetkov},
     title = {Deformations of the {Infinite-Dimensional} {Lie} {Algebra} $L_3$},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {75--81},
     publisher = {mathdoc},
     volume = {40},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2006_40_3_a9/}
}
TY  - JOUR
AU  - Yu. Yu. Kochetkov
TI  - Deformations of the Infinite-Dimensional Lie Algebra $L_3$
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2006
SP  - 75
EP  - 81
VL  - 40
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2006_40_3_a9/
LA  - ru
ID  - FAA_2006_40_3_a9
ER  - 
%0 Journal Article
%A Yu. Yu. Kochetkov
%T Deformations of the Infinite-Dimensional Lie Algebra $L_3$
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2006
%P 75-81
%V 40
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2006_40_3_a9/
%G ru
%F FAA_2006_40_3_a9
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/

[1] A. Fialovski, Matem. sbornik, 127(169):4(8) (1985), 476–482 | MR

[2] Yu. Yu. Kochetkov, G. Post, Funkts. analiz i ego pril., 26:4 (1992), 90–92 | MR | Zbl

[3] A. Fialowski, D. Fuchs, Topics in Singularity Theory, Amer. Math. Soc., Providence, RI, 1997, 77–92 | MR | Zbl

[4] A. Fialowski, D. Fuchs, J. Funct. Anal., 161:1 (1999), 76–110 | DOI | MR | Zbl

[5] A. Fialowski, G. Post, J. Algebra, 236 (2001), 93–109 | DOI | MR | Zbl

[6] B. L. Feigin, D. B. Fuks, Funkts. analiz i ego pril., 14:3 (1980), 45–60 | MR | Zbl

[7] D. B. Fuks, Kogomologii beskonechnomernykh algebr Li, Nauka, M., 1984 | MR | Zbl

[8] L. V. Goncharova, Funkts. analiz i ego pril., 7:2 (1973), 6–14 | MR | Zbl

[9] F. Weinstein, Adv. Soviet Math., 17 (1993), 155–216 | MR | Zbl