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Bibliographic Details
Main Authors: Baine, Joe, Fell, Tasman, Romanov, Anna, Sherman, Alexander, Williamson, Geordie
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.07144
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Table of Contents:
  • We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a tensor functor and sends every standard and costandard object in the principal block to a one-dimensional object. We connect our functor to recent work of Gruber and conjecture that our functor is equivalent to hypercohomology under the equivalence of the Finkelberg-Mirkovic conjecture.