Invariants and Automorphisms for slice regular functions (Cinzia Bisi - University of Ferrara)

 Let A be one of the following algebras : $\mathbb{R}_2 \cong \mathbb{H}$ , (the real algebra of quaternions) or the Clifford algebra $\mathbb{R}_3 \cong \mathbb{H} \oplus \mathbb{H}$. For the algebra A, the automorphism group Aut(A) and its invariants are well known.

In this seminar we will describe the invariants of the automorphism group of the algebra of slice regular functions over A. We recall that the notion of slice regularity generalizes the holomorphicity over C.