Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra
Dong Liu, Yufeng Pei, Linsheng Zhu
TL;DR
This paper classifies Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra, building on known classifications for the Virasoro algebra, and provides methods applicable to related Lie algebras.
Contribution
It extends the classification of Lie bialgebra structures to the twisted Heisenberg-Virasoro algebra and introduces general methods for related algebras.
Findings
Classified Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra.
Developed methods to determine structures on related Lie algebras.
Obtained useful general results for Lie bialgebra structures.
Abstract
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models