Continuous evolution algebras

Date

2023

Authors

Montaner, Fernando

Director

Publisher

Universitet of Nis
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión publicada / Argitaratu den bertsioa

Project identifier

  • AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-123461NB-C21/
Impacto
OpenAlexGoogle Scholar
cited by count

Abstract

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.

Description

Keywords

Continuous evolution algebra, Flow, Matrix Lie group, Vector field

Department

Estadística, Informática y Matemáticas / Estatistika, Informatika eta Matematika

Faculty/School

Degree

Doctorate program

item.page.cita

Montaner, F., Paniello, I. (2023) Continuous evolution algebras. Filomat, 37(4), 1111-1121. https://doi.org/10.2298/FIL2304111M.

item.page.rights

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