4 papers
Hopf algebras and associative representations of two-dimensional evolution algebras
Yolanda Cabrera Casado, María Inez Cardoso Gonçalves, Daniel Gonçalves +3
In this paper, we establish a connection between evolution algebras of dimension two and Hopf algebras, via the algebraic group of automorphisms of an evolution algebra. Initially,…
Centroid and algebraic properties of evolution algebras through graphs
Yolanda Cabrera Casado, Maria Inez Cardoso Gonçalves, Daniel Gonçalves +3
The leitmotiv of this paper is linking algebraic properties of an evolution algebra with combinatorial properties of the (possibly several) graphs that one can associate to the alg…
Tensor product of evolution algebras
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
The starting point of this work is that the class of evolution algebras over a fixed field is closed under tensor product. This arises questions about the inheritance of properties…
On the characterization of the space of derivations in evolution algebras
Yolanda Cabrera Casado, Paula Cadavid, Mary Luz Rodiño Montoya +1
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 twi…