217 research outputs found
Classification of simple weight modules for the superconformal algebra
In this paper, we classify all simple weight modules with finite dimensional
weight spaces over the superconformal algebra.Comment: 18 pages, Latex, in this version we delete the Section 7 for
application to the superconformal algebr
A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras
Mainly motivated by Pirashvili's spectral sequences on a Leibniz algebra, a
cohomological characterization of Leibniz central extensions of Lie algebras is
given based on Corollary 3.3 and Theorem 3.5. In particular, as applications,
we obtain the cohomological version of Gao's main Theorem in \cite{Gao2} for
Kac-Moody algebras and answer a question in \cite{LH}.Comment: 12 pages. Proc. Amer.Math.Soc. (to appear in a simplified version
Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra
In this paper we investigate Lie bialgebra structures on the twisted
Heisenberg-Virasoro algebra. With the classifications of Lie bialgebra
structures on the Virasoro algebra, we determined such structures on the
twisted Heisenberg-Virasoro algebra. Moreover, some general and useful results
are obtained. With our methods and results we also can easily to determine such
structures on some Lie algebras related to the twisted Heisenberg-Virasoro
algebra.Comment: Latex 18page. arXiv admin note: text overlap with arXiv:0901.133
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