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

2023/03/15 by Jinlu Li, Jiancai Sun, Hanhan Xu
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · doi:10.1080/00927872.2023.2187213

openalex publication_date 2023/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23

Abstract

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.

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