sl（5，R）和su（5）代数的Gell-Mann公式的推广
Generalization of the Gell-Mann formula for sl(5, R) and su(5) algebras
摘要：
所谓的盖尔曼公式表示李代数元素的相应Inonu-Wigner压缩的。在sl（n，R）和su（n）代数的收缩w.r.t.因此，Gell-Mann公式一般是无效的，并且仅适用于某些代数表示的情况。在SO（5）和/或Spin（5）群的群流形框架下，得到了sl（5，R）和su（5）代数的Gell-Mann公式的一个推广，它对所有表示都有效.
英文摘要：
The so called Gell-Mann formula expresses the Lie algebra elements in terms of the corresponding Inonu-Wigner contracted ones. In the case of sl(n, R) and su(n) algebras contracted w.r.t. so(n) subalgebras, the Gell-Mann formula is generally not valid, and applies only in the cases of some algebra representations. A generalization of the Gell-Mann formula for sl(5,R) and su(5) algebras, that is valid for all representations, is obtained in a group manifold framework of the SO(5) and/or Spin(5) group.
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。
