Roots and Critical Points of Cayley-Dickson Algebras

Abstract: "We study the roots and critical points (i.e., points at which the formal derivative vanishes) of standard polynomials over Cayley-Dickson algebras. In the anisotropic real case, we prove that the critical points live inside the convex hull of the roots of the polynomial. The talk is based on joint work with Alexander Guterman, Solomon Vishkautsan and Svetlana Zhilina."

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar