J. Newton

activity

20232026

most citedFinite symmetric algebras in tensor categories and Verlinde categories of algebraic groups

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 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 $Ver_{p^{n}} (G)$ in characteristic $p$ for connected reductive groups $G$ and positive integers $n$ , generalising the semisimple Verlinde categories…

math.RT2025★ 2 cited

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…

math.RT2023

Classifying quotients on Coxeter groups by isomorphism in Bruhat order

Joseph Newton

We classify all quotients $W / W_{J}$ up to isomorphism in Bruhat order, with $(W, S)$ a Coxeter system and $W_{J}$ a parabolic subgroup of $W$ . In particular, the non-trivial isomorphism…