The affine group scheme of the automorphisms of evolution algebras of dimension 2.

Abstract: In this talk we establish a connection between evolution algebras of dimension two and Hopf algebras, via the algebraic group of automorphisms of an evolution algebra. This analysis involves the computation of the (tight) p−algebra associated with any 2-dimensional evolution algebra, whenever it exists. Furthermore, if A is perfect and has a faithful tight p-algebra, then this p-algebra is isomorphic to H (the Hopf algebra associated to the evolution algebra).

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar