空间伽利略共形代数的导子代数和泛中心扩张
Derivations and Universal Central Extensions of the Spatial Galilean ConformalAlgebra
摘要: (d + 1)维时空中的伽利略共形代数是一类重要的无限维李代数。 本文将该代数在d = 3时的情形定 义并命名为空间伽利略共形代数。 基于上同调方法，系统研究了空间伽利略共形代数的导子代数 与泛中心扩张。
Abstract: The Galilean conformal algebra in (d + 1)-dimensional spacetime is an important class of infinite-dimensional Lie algebras. In this paper, the case of this algebra with d = 3 is defined and named the spatial Galilean conformal algebra. Using cohomological methods, we systematically study the derivation algebra and the universal central extension of the spatial Galilean conformal algebra.
文章引用：王国泰, 申冉. 空间伽利略共形代数的导子代数和泛中心扩张[J]. 应用数学进展, 2026, 15(7): 48-58. https://doi.org/10.12677/AAM.2026.157300

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