A remarkable functor on <i>G</i> -modules

Abstract We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a symmetric monoidal functor and sends every standard and costandard object in the principal block to a one-dimensional object. We connect this new functor to recent work of Gruber and conjecture that it is isomorphic to hypercohomology under the equivalence of the Finkelberg–Mirković conjecture.