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Your search keyword '"Pinchuk I"' showing total 3 results
Start Over Author "Pinchuk I" Topic lie superalgebras
3 results on '"Pinchuk I"'

1. Lifting of automorphisms and derivations of conformal Lie superalgebras to their central extensions.

Author

Mikhalev, A. and Pinchuk, I.

Subjects
*AUTOMORPHISMS, *LIE algebras, *LIE superalgebras, *GROUP theory, *NONASSOCIATIVE algebras
Abstract

The paper is aimed at the problem of lifting automorphisms and derivations of a perfect conformal Lie superalgebra to its central extension. Such lifting is possible with the help of a universal central extension whose tensor model is constructed here for this purpose. [ABSTRACT FROM AUTHOR]

Published
2007
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2. The central closure of the simple “strange” lie superalgebras extended over a commutative algebra.

Author

Mikhalev, A. V. and Pinchuk, I. A.

Subjects
*LIE superalgebras, *COMMUTATIVE algebra, *HOMOMORPHISMS, *ISOMORPHISM (Mathematics), *UNIVERSAL algebra
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). [ABSTRACT FROM AUTHOR]

Published
2006
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3. Universal Central Extensions of Lie Superalgebras.

Author

Mikhalev, A. V. and Pinchuk, I. A.

Subjects
*SUPERALGEBRAS, *NONASSOCIATIVE algebras, *LIE superalgebras, *LINEAR algebra, *ABSTRACT algebra, *LIE algebras, *MATHEMATICS
Abstract

In this article the universal central extensions of Lie superalgebras related to simple complex Lie superalgebras having nondegenerate Killing form are considered. [ABSTRACT FROM AUTHOR]

Published
2003
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