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

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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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     author = {A. V. Mikhalev and I. A. Pinchuk},
     title = {The central closure of the simple ``strange'' {Lie} superalgebras extended over a~commutative algebra},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {125--131},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a8/}
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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/