关于李代数的（alpha，beta，gamma）-导子及相应的不变函数
On (alpha,beta,gamma)-derivations of Lie algebras and corresponding invariant functions
摘要：
我们考虑有限维复李代数。我们通过复参数推广了李导子的概念，得到了各种李算子代数和Jordan算子代数以及两个单参数线性算子集。利用这些参数集，我们引入了在李同构下具有基本性质不变性的复变函数.其中一个基独立函数表示三维李代数的一组完整的不变量。我们也提出了它的应用程序上的物理动机的例子在第八维。
英文摘要：
We consider finite-dimensional complex Lie algebras. We generalize the concept of Lie derivations via certain complex parameters and obtain various Lie and Jordan operator algebras as well as two one-parametric sets of linear operators. Using these parametric sets, we introduce complex functions with fundamental property - invariance under Lie isomorphisms. One of these basis-independent functions represents a complete set of invariant(s) for three-dimensional Lie algebras. We present also its application on physically motivated examples in dimension eight.
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