Jonathan Elmer

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math.AC2026

Conjugation Differential Invariants of $SL_{2} (F_{q})$ on trace-free matrices

Jonathan Elmer

Let $q = p^{k}$ be prime power, let $F = F_{q}$ and let $V$ be the vector space of 2 by 2 matrices over $F$ with trace zero. Let $G = SL_{2} (F)$ . Then $G$ acts on $V$ via…

math.AC2026

Semi-Invariants of a Matrix and Covector

Jonathan Elmer

We prove the following theorem: let $M_{d}$ denote the set of $d \times d$ matrices over an infinite field $K$ , and let $(K^{d})^{*}$ be the set of row vectors. Define an act…

math.AC2025

The differential invariants of $S L_{2} (F_{3})$ acting on trace-free matrices over $F_{3}$

Jonathan Elmer, Anja Meyer

Let $M$ denote the vector space of $2 \times 2$ matrices with coefficients in $F_{3}$ and trace zero. Let $G = S L_{2} (F_{3})$ . Then $G$ acts on $M$ via conjugation. Let…

math.AC2025

Cohen-Macaulay modules of covariants for cyclic $p$ -groups

Jonathan Elmer

Let $G$ be a a finite group, $k$ a field of characteristic dividing $∣ G ∣$ and and $V, W$ $k G$ -modules. Broer and Chuai showed that if $codim (V^{G}) \leq 2$ then the module of…

Conjugation Differential Invariants of SL2​(Fq​) on trace-free matrices

Semi-Invariants of a Matrix and Covector

The differential invariants of SL2​(F3​) acting on trace-free matrices over F3​

Cohen-Macaulay modules of covariants for cyclic p-groups

Conjugation Differential Invariants of $SL_{2} (F_{q})$ on trace-free matrices

The differential invariants of $S L_{2} (F_{3})$ acting on trace-free matrices over $F_{3}$

Cohen-Macaulay modules of covariants for cyclic $p$ -groups