2 citations · 2 across the 4 of their papers we have counts for
4 papers
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 ref…
Invariant theory for wreath products acting on superpolynomials
Trevor Karn, Victor Reiner
This paper considers a finite group acting linearly on the variables of a polynomial algebra, or an exterior algebra, or superpolynomial algebra with both commuting and ant…
Ideals preserved by linear changes of coordinates in positive characteristic
Bjørn Cattell-Ravdal, Erin Delargy, Akash Ganguly +4
We consider the polynomial ring in finitely many variables over an algebraically closed field of positive characteristic, and initiate the systematic study of ideals preserved by t…
Superspace coinvariants and hyperplane arrangements
Robert Angarone, Patricia Commins, Trevor Karn +2
Let be the {\em superspace ring} of polynomial-valued differential forms on affine -space. The natural action of the symmetric group on -space induces an…