RT Journal Article
T1 On the characterization of the space of derivations in evolution algebras
A1 Cabrera Casado, Yolanda
A1 Cadavid, Paula
A1 Rodiño Montoya, Mary Luz
A1 Rodriguez, Pablo M.
K1 Álgebra
AB We study the space of derivations for some finite-dimensional evolution algebras, depending on the twin partition of an associated directed graph. For evolution algebras with a twin-free associated graph, we prove that the space of derivations is zero. For the remaining families of evolution algebras, we obtain sufficient conditions under which the study of such a space can be simplified. We accomplish this task by identifying the null entries of the respective derivation matrix. Our results suggest how strongly the associated graph’s structure impacts in the characterization of derivations for a given evolution algebra. Therefore, our approach constitutes an alternative to the recent developments in the research of this subject. As an illustration of the applicability of our results, we provide some examples and we exhibit the classification of the derivations for non-degenerate irreducible three-dimensional evolution algebras.
PB Springer Link
YR 2020
FD 2020
LK https://hdl.handle.net/10630/33812
UL https://hdl.handle.net/10630/33812
LA eng
NO Cabrera Casado, Y., Cadavid, P., Rodiño Montoya, M. et al. On the characterization of the space of derivations in evolution algebras. Annali di Matematica 200, 737–755 (2021). https://doi.org/10.1007/s10231-020-01012-2
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026