The paper proves that changing the Borel subgroup for GL(X) in Ver_p is governed by lowest weights of GL(L_m|L_n), computed via circular weight and cap diagrams.
Harish-Chandra pairs in the Verlinde category in positive characteristic
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this article, we prove that the category of affine group schemes of finite type in the Verlinde category is equivalent to the category of Harish-Chandra pairs in the Verlinde category. Subsequently, we extend this equivalence to an equivalence between corresponding representation categories and then study some consequences of this equivalence to the representation theory of $GL(L)$, with $L$ a simple object in the Verlinde category.
fields
math.RT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic
The paper proves that changing the Borel subgroup for GL(X) in Ver_p is governed by lowest weights of GL(L_m|L_n), computed via circular weight and cap diagrams.