An upper bound on the degree of singular vectors for $E(1,6)$

Abstract

The aim of this work is to prove a technical result, that had been stated by Boyallian, Kac and Liberati [3], on the degree of singular vectors of finite Verma modules over the exceptional Lie superalgebra E(1, 6) that is isomorphic to the annihilation superalgebra associated with the conformal superalgebra CK 6 .