Jonathan Elmer

works on

characteristic polynomial 1 invariant theory 1 matrix invariants 1 quiver representations 1 SL_n action 1

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math.AC2026

Semi-Invariants of a Matrix and Covector

Jonathan Elmer

The paper proves that the algebra of polynomial functions invariant under the natural SLₙ action on a matrix together with a covector is a polynomial ring generated by the coeffici…

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…

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

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