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Fundamentalnaya i Prikladnaya Matematika, 2003, Volume 9, Issue 3, Pages 125–131
(Mi fpm738)
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This article is cited in 1 scientific paper (total in 1 paper)
The central closure of the simple “strange” Lie superalgebras extended over a commutative algebra
A. V. Mikhaleva, I. A. Pinchukb a M. V. Lomonosov Moscow State University
b Moscow State Region University
Abstract:
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 $g(A)$.
Citation:
A. V. Mikhalev, I. A. Pinchuk, “The central closure of the simple “strange” Lie superalgebras extended over a commutative algebra”, Fundam. Prikl. Mat., 9:3 (2003), 125–131; J. Math. Sci., 135:5 (2006), 3350–3354
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https://www.mathnet.ru/eng/fpm738 https://www.mathnet.ru/eng/fpm/v9/i3/p125
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Abstract page: | 321 | Full-text PDF : | 129 | References: | 52 | First page: | 1 |
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