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A remarkable functor on G-modules

delete2026-07-01
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PRE
AI
B
Baine, Joseph *
F
Fell, Tasman
R
Romanov, Anna
S
Sherman, Alexander
G
Geordie Williamson
DOI:10.1515/crelle-2026-0037delete
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Abstract

Abstract

En 中文
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-Mirkovi & cacute; conjecture.
Keywords:
LIE-ALGEBRAS
REPRESENTATIONS
CATEGORIES
DUALITY

Journal

J
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
IF:
1.3
Papers:
70
Citations:
0

Organization

U
university of new south wales sydney
Scholars:
2.7K
Papers: 1.2K
Citations: 0
U
university of sydney
Scholars:
6.1K
Papers: 2.8K
Citations: 0