伽利略等距
Galilean Isometries
摘要：
我们引入了三个伽利略时空结构的无限小“等距”的嵌套李代数，它们扮演着相对论性洛伦兹时空的Killing向量场代数的角色。这些李代数的非平凡扩张自然产生于对Newton-Cartan-Bargmann自同构的考虑。
英文摘要：
We introduce three nested Lie algebras of infinitesimal `isometries' of a Galilei space-time structure which play the rôle of the algebra of Killing vector fields of a relativistic Lorentz space-time. Non trivial extensions of these Lie algebras arise naturally from the consideration of Newton-Cartan-Bargmann automorphisms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
