论文标题

连续进化代数

Continuous Evolution Algebras

论文作者

Montaner, Fernando, Paniello, Irene

论文摘要

我们根据可区分的基质值函数制定了连续进化代数的概念,然后研究那些像ODE问题解决方案一样的代数。鉴于它们对自然基础的依赖,矩阵谎言组在考虑时间变化的进化代数的情况下提供了合适的框架。我们通过考虑将持续进化代数作为基质谎言组的流线来扩大方法来结束。

We formulate the notion of continuous evolution algebra in terms of differentiable matrix-valued functions, to then study those such algebras arising as solutions of ODE problems. Given their dependence on natural bases, matrix Lie groups provide a suitable framework where considering time-variant evolution algebras. We conclude by broadening our approach by considering continuous evolution algebras stemming as flow lines on matrix Lie groups.

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