与局部有限导子相关的切触李代数的导子和2-余圈
Derivations and 2-Cocycles of Contact Lie Algebras Related to Locally-Finite Derivations
摘要：
经典切触李代数是经典力学中位形空间切触元流形上的基本代数结构。徐介绍了接触单李代数，这是有关的局部有限导子和一般不分次的大类。这些李代数的同构类在以前的论文中确定的徐和苏。本文确定了这类李代数的导子代数代数和2-上同调群，并得到了这类李代数的2-上同调群都是平凡的。
英文摘要：
Classical contact Lie algebras are the fundamental algebraic structures on the manifolds of contact elements of configuration spaces in classical mechanics. Xu introduced a large category of contact simple Lie algebras which are related to locally finite derivations and are in general not finitely graded. The isomorphism classes of these Lie algebras were determined in a previous paper by Xu and Su. In this paper, the derivation algebras and the 2-cohomology groups of these Lie algebras are determined, and it is obtained that the 2-cohomology groups of these Lie algebras are all trivial.
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。
