Geodesic
Relations and deformations of odd Hamiltonian superalgebras
Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 391-401 
Yu. Yu. Kochetkov. Relations and deformations of odd Hamiltonian superalgebras. Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 391-401. http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a8/
@article{MZM_1998_63_3_a8,
     author = {Yu. Yu. Kochetkov},
     title = {Relations and deformations of odd {Hamiltonian} superalgebras},
     journal = {Matemati\v{c}eskie zametki},
     pages = {391--401},
     year = {1998},
     volume = {63},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The following (co)homology groups of the Lie superalgebra $H(0,n)$ are calculated: the $H^2(H,H)$ cohomology with coefficients in the adjoint module and the $H_2(LH)$ homology of the nilpotent subalgebra. It is shown that $\dim H^2(H,H)=1$.

[1] Van der Hijligenberg N., Post G., “Defining relations for Lie algebras of vector fields”, Indag. Math. (N.S.), 1991, no. 2, 207–218 | MR | Zbl

[2] Kochetkov Yu. Yu., “Deformatsii gamiltonovoi algebry $H(2)$”, Funktsion. analiz i ego prilozh., 28:3 (1993), 77–79 | MR

[3] Van der Hijligenberg N., Kotchetkov Yu., Post G., “Deformations of $S(0,n)$ and $H(0,n)$”, Internat. J. Algebra Comput., 1 (1993), 57–77

[4] Fialowski A., “On the deformations of $L_1$”, Studia Sci. Math. Hungar., 20 (1985), 433–438 | MR | Zbl

[5] Kochetkov Yu. Yu., Post G. F., “Deformatsii beskonechnomernoi nilpotentnoi algebry Li $L_2$”, Funktsion. analiz i ego prilozh., 26:4 (1992), 90–92 | MR | Zbl

[6] Van der Hijligenberg N., Kotchetkov Yu., “The absolute rigidity of the Neveu–Schwarz and Ramond superalgebras”, J. Math. Phys., 37:11 (1996), 5858–5868 | DOI | MR | Zbl