T. Karn

collaborators

3 papers

math.CO2026

On invariant subrings of Orlik--Solomon and Varchenko--Gel'fand algebras in type A

Trevor Karn

We provide simple presentations in terms of generators and relations for the invariant subring of both the Orlik--Solomon algebra and Varchenko--Gel'fand ring of the type $A_{n}$ ref…

math.CO2026

Superspace coinvariants and hyperplane arrangements

Robert Angarone, Patricia Commins, Trevor Karn +2

Let $I^c ◯$ be the {\em superspace ring} of polynomial-valued differential forms on affine $n$ -space. The natural action of the symmetric group $S_{n}$ on $n$ -space induces a…

math.CO2025

Invariant theory for wreath products acting on superpolynomials

Trevor Karn, Victor Reiner

This paper considers a finite group $G$ acting linearly on the variables $V$ of a polynomial algebra, or an exterior algebra, or superpolynomial algebra with both commuting and ant…