Geodesic
The central closure of the simple “strange” Lie superalgebras extended over a commutative algebra
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 125-131 
A. V. Mikhalev; I. A. Pinchuk. The central closure of the simple “strange” Lie superalgebras extended over a commutative algebra. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 125-131. http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a8/
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     title = {The central closure of the simple {\textquotedblleft}strange{\textquotedblright} {Lie} superalgebras extended over a~commutative algebra},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this work we study central extensions of Lie superalgebras $g(A)$, where $g=P(n-1)$ are simple Lie superalgebras from one of the so-called “strange” series. We show that universal central extensions of these Lie superalgebras ara trivial, i.e., they are isomorphic to the superalgebras $g(A)$.

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[2] Mikhalev A. V., Pinchuk I. A., “Universalnye tsentralnye rasshireniya superalgebr Li”, Tr. seminara im. I. G. Petrovskogo, 22, 2002, 261–282 | MR

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[5] Mikhalev A. V., Pinchuk I. A., “Universal central extensions of the matrix Lie superalgebras $\mathrm{sla}(m,n,A)$”, Contemp. Math., 264 (2000), 111–125 | MR | Zbl