The Schrödinger-Virasoro type Lie bialgebra: a twisted case

Details The Schrödinger-Virasoro type Lie bialgebra: a twisted case The Schrödinger-Virasoro type Lie bialgebra: a twisted case

2010-03-19

arxiv.org/abs/1003.3734v1

Mathematics

Rings and Algebras

14 pages

Scientific paper

In this paper we investigate Lie bialgebra structures on a twisted Schr\"{o}dinger-Virasoro type algebra $\LL$. All Lie bialgebra structures on $\LL$ are triangular coboundary, which is different from the relative result on the original Schr\"{o}dinger-Virasoro type Lie algebra. In particular, we find for this Lie algebra that there are more hidden inner derivations from itself to $\LL\otimes\LL$ and we develop one method to search them.

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