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 $g(A)$.

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Last modified: September 24, 2004.