Lie Super-bialgebra Structures on the Super-BMS3 Algebra

Author:

Cheng Xiao1,Sun Jiancai2,Yang Hengyun3

Affiliation:

1. Division of Mathematics and Physics, Shanghai Environmental Science School, Shanghai 200135, China

2. Department of Mathematics, Shanghai University, Shanghai 200444, China

3. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China

Abstract

In this paper, Lie super-bialgebra structures on the super-BMS3 algebra are considered. It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras. The method we use is mainly based on the computation of derivations from the super-BMS3 to the tensor product of its adjoint module.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Transposed Poisson structures on Virasoro-type (super)algebras;Journal of Geometry and Physics;2024-12

2. A class of non-weight modules over the super-BMS3 algebra;Journal of Algebra and Its Applications;2023-06-27

3. Lie super-bialgebra structures on the two dimensional supersymmetric Galilean conformal algebra;Communications in Algebra;2023-03-15

4. Quantization of the Super-BMS3 Algebra;Advances in Mathematical Physics;2022-07-14

5. BMS algebras in 4 and 3 dimensions, their quantum deformations and duals;Journal of High Energy Physics;2021-02

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