Continuous evolution algebras
Fecha
2023Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Identificador del proyecto
AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-123461NB-C21
Impacto
|
10.2298/FIL2304111M
Resumen
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 algeb ...
[++]
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. [--]
Materias
Continuous evolution algebra,
Flow,
Matrix Lie group,
Vector field
Editor
Universitet of Nis
Publicado en
Filomat, 37(4), 1111-1121
Departamento
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila
Versión del editor
Entidades Financiadoras
Supported by grants MTM2017-83506-C2-1-P (AEI/FEDER, UE) and PID2021-123461NB-C21, funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe. The first author is also supported by Diputación General de Aragón (Grupo de Investigación Álgebra y Geometría)