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.
Baine et al. (Wed,) studied this question.