3 papers · 1 filter
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,…
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…
Algebraic structure of the Lorentz and of the Poincaré Lie algebras
Pablo Alberca Bjerregaard, Dolores MartÍn Barquero, CÁndido MartÍn GonzÁlez +1
We start with the Lorentz algebra over the reals and find a suitable basis relative to which the structure constants are integers. Thus we consider the -alge…