Geodesic
Continuous evolution algebras
Filomat, Tome 37 (2023) no. 4, p. 1111

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DOI

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.
DOI : 10.2298/FIL2304111M
Classification : 17D92, 17A01, 92D25
Keywords: Continuous evolution algebra, Matrix Lie group, Flow, Vector field 
Fernando Montaner; Irene Paniello. Continuous evolution algebras. Filomat, Tome 37 (2023) no. 4, p. 1111 . doi: 10.2298/FIL2304111M
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     author = {Fernando Montaner and Irene Paniello},
     title = {Continuous evolution algebras},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304111M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304111M/}
}
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