Additive families of GL_n-invariants of Schur functors

Abstract

We extend the symbolic method of [5] to invariants for the action of the general linear group on any Schur or co-Schur functor. We apply this symbolic method to prove that certain families of invariants of the Schur (co-Schur) functors are additive.

Keywords: Schur functor; invariant; symbolic method; additive family of invariants

Quaestiones Mathematicae 33(2010), 95–129