Lie bialgebra structures on the Schr\"{o}dinger-Virasoro Lie algebra
Jianzhi Han, Junbo Li, Yucai Su
TL;DR
This paper explores Lie bialgebra structures on the Schr"odinger-Virasoro algebra, revealing that not all such structures are triangular coboundary, contrasting with known results for related algebras.
Contribution
It demonstrates that the Schr"odinger-Virasoro algebra admits non-triangular coboundary Lie bialgebra structures, a novel finding in the study of these algebraic structures.
Findings
Not all Lie bialgebra structures are triangular coboundary.
The Schr"odinger-Virasoro algebra admits non-triangular coboundary structures.
Contrasts with known results for related Virasoro algebra structures.
Abstract
In this paper we investigate Lie bialgebra structures on the Schr\"odinger-Virasoro algebra . Surprisingly, we find out an interesting fact that not all Lie bialgebra structures on the Schr\"odinger-Virasoro algebra are triangular coboundary, which is different from the related known results of some Lie algebras related to the Virasoro algebra.
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