3 papers
math.RT2026
Small Lie algebras in the Verlinde category
Joseph Newton
This paper studies simple Lie algebras in the Verlinde category, with canonical fundamental group action, using combinatorial methods. We give an exhaustive list of such Lie algebr…
math.RT2026
Higher Verlinde categories of reductive groups
Joseph Newton
We define tensor categories in characteristic for connected reductive groups and positive integers , generalising the semisimple Verlinde categories…
math.RT2025
Finite symmetric algebras in tensor categories and Verlinde categories of algebraic groups
Kevin Coulembier, Pavel Etingof, Joseph Newton
We investigate objects in symmetric tensor categories that have simultaneously finite symmetric and finite exterior algebra. This forces the characteristic of the base field to be…