FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 3, PAGES 125-131

**The central closure of the simple "strange" Lie superalgebras extended
over a commutative algebra**

A. V. Mikhalev

I. A. Pinchuk

Abstract

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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
$g(A)$.

Location: http://mech.math.msu.su/~fpm/eng/k03/k033/k03309h.htm.

Last modified: September 24, 2004.