Lie super-bialgebra structures on the two dimensional supersymmetric Galilean conformal algebra

被引：1

作者：

Li, Jinlu ^{[1
]}

Sun, Jiancai ^{[1
,2
]}

Xu, Hanhan ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 09期

关键词：

Lie super-bialgebra structures; the two dimensional supersymmetric Galilean conformal algebra; WITT;

D O I：

10.1080/00927872.2023.2187213

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be the two dimensional supersymmetric Galilean conformal algebra. In this paper, we obtain that Lie superalgebra G admits only triangular coboundary Lie super-bialgebra structures and the proof is mainly based on the computation of the first cohomology group of G with coefficients in the tensor product of its adjoint module.

引用

页码：3632 / 3670

页数：39

共 17 条

[1]

Blumenhagen R., 2009, Lecture Notes in Physics

[2] Lie Super-bialgebra Structures on the Super-BMS3 Algebra [J].