Evolution algebras, automorphisms, and graphs
Evolution algebras, automorphisms, and graphs
The affine group scheme of automorphisms of an evolution algebra E with E2=E is shown to lie in an exact sequence 1→D→Aut(E)→S, where D, diagonalizable, and S, constant, depend solely on the directed graph associated to E. As a consequence, the Lie algebra of derivations Der(E) (with E2=E) is shown …