Jonathan Elmer

activity

20092022

most citedThe Cohen-Macaulay property of separating invariants of finite groups

18 citations · 38 across the 9 of their papers we have counts for

collaborators

14 papers

math.AC2022

The separating variety for matrix semi-invariants

Jonathan Elmer

Let $G$ be a linear algebraic group acting linearly on a vector space $V$ , and let $k [V]^{G}$ be the corresponding algebra of invariant polynomial functions. A separating set $S \sub…

math.AC2022

The separating variety for 2x2 matrix invariants

Jonathan Elmer

Let $G$ be a linear algebraic group acting linearly on a $G$ -variety $V$ , and let $k [V]^{G}$ be the corresponding algebra of invariant polynomial functions. A sep…

math.RT2021

The relative Heller operator and relative cohomology for the Klein 4-group

Jonatan Elmer

Let $G$ be the Klein Four-group and let $k$ be an arbitrary field of characteristic 2. A classification of indecomposable $k G$ -modules is known. We calculate the relative cohomolog…

math.AC2020

Degree bounds for modular covariants

Jonathan Elmer, Müfit Sezer

Let $V, W$ be representations of a cyclic group $G$ of prime order $p$ over a field $k$ of characteristic $p$ . The module of covariants $k [V, W]^{G}$ is the set of $G$ -equivariant poly…

math.AC2018

On the depth of quotients of modular invariant rings by transfer ideals

Jonathan Elmer, Müfit Sezer

Let $G$ be a finite group, and $V$ a finite dimensional vector space over a field $k$ of characteristic dividing the order of $G$ . Let $H \leq G$ . The transfer map $k[V]^H \rightar…

math.AC2018

Modular Covariants of Cyclic Groups of Order p

Jonathan Elmer

Let $G$ be a cyclic group of order $p$ , let $k$ be a field of characteristic $p$ , and let $V, W$ be $k G$ -modules. We study the modules of covariants $k[V,W]^G = (S(V^*) \otimes W)^…