哈密顿向量场的李超代数的上同调:计算机分析
Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis
AI总结:
本文通过C语言程序计算哈密顿向量场及相关李(超)代数的上同调,提供部分新结果以探索完整上同调环。
摘要:
我们展示了一些哈密顿向量场及相关代数的李(超)代数的上同调计算结果。目前,即使对于低维向量场,这些代数的完整上同调环也未知。部分“实验性”结果可能为整个问题的解决提供线索。计算借助最近用C语言编写的程序完成。展示的一些结果是新的。
英文摘要:
We present the results of computation of cohomology for some Lie (super)algebras of Hamiltonian vector fields and related algebras. At present, the full cohomology rings for these algebras are not known even for the low dimensional vector fields. The partial ``experimental'' results may give some hints for solution of the whole problem. The computations have been carried out with the help of recently written program in C language. Some of the presented results are new.
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。