Continuous Evolution Algebras

Irene Paniello, Fernando Montaner


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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