INVESTIGADORES
FERNANDEZ CULMA Edison Alberto
artículos
Título:
On the classification of 3-dimensional complex hom-Lie algebras
Autor/es:
EDISON ALBERTO FERNÁNDEZ CULMA; NADINA ELIZABETH ROJAS
Revista:
JOURNAL OF PURE AND APPLIED ALGEBRA
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2023 vol. 227
ISSN:
0022-4049
Resumen:
Let $hom-L_n(C)$ be the algebraic set of complex n-dimensional hom-Lie algebras. The group $GL(n,C)$ acts on it via change of basis. We classify hom-Lie structures with nilpotent twisting map on 3-dimensional complex Lie algebras, up to isomorphism, and we give the classification of orbit closures in such family. For this purpose, we introduce some invariants of hom-Lie algebras to study both problems. The ideas and techniques presented here can be easily extrapolated to study similar problems on other linear algebraic structures.
