具有一个零独立对角元的三角李代数的不变量
Invariants of triangular Lie algebras with one nilindependent diagonal element
摘要：
研究了具有一个零独立对角元的可解三角李代数的不变量。所有这些代数的不变集的基础是使用基于Cartan移动标架方法的原始代数算法和在[J. Phys. A：Math. Theor. 40（2007），7557-7572]。完成并证明了Tremblay和Winternitz [J. Phys. A：Math. Gen. 34（2001），9085-9099]关于基中元素个数和形式的猜想。
英文摘要：
The invariants of solvable triangular Lie algebras with one nilindependent diagonal element are studied exhaustively. Bases of the invariant sets of all such algebras are constructed using an original algebraic algorithm based on Cartan's method of moving frames and the special technique developed for triangular and related algebras in [J. Phys. A: Math. Theor. 40 (2007), 7557-7572]. The conjecture of Tremblay and Winternitz [J. Phys. A: Math. Gen. 34 (2001), 9085-9099] on the number and form of elements in the bases is completed and proved.
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。
