(Universitet of Nis, 2023) Montaner, Fernando; Paniello Alastruey, Irene; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika
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.
