84 research outputs found
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
Whittaker Modules for the twisted Heisenberg-Virasoro Algebra
We define Whittaker modules for the twisted Heisenberg-Virasoro algebra and
obtain analogues to several results from the classical setting, including a
classification of simple Whittaker modules by central characters.Comment: Latex, 18 pag
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