Fractional Conformal spin of pseudo differential operators and KP hierarchy

Abstract

Given the importance of pseudo differential operators in physics, we present in this paper the useful background to study the algebraic structure of fractional pseudo differential operators. We present a brief account of basic properties of the space of higher conformal spin differential lax operators in the bosonic case and we give some applications through the fractional KP hierarchy

Keywords: Lax operators, pseudo differential operators, fractional KP hierarchy