Shan Ren

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20222026

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math.AC2025

Some four-dimensional orthogonal invariants

Shan Ren, Runxuan Zhang

Let $p$ be an odd prime and $F_{p}$ be the prime field of order $p$ . Consider a $2$ -dimensional orthogonal group $G$ over $F_{p}$ acting on the standard representatio…

math.AC2023

Modular invariants of a vector and a covector for some elementary abelian $p$ -groups

Shan Ren

Let $F_{p}$ be the prime field of order $p > 0$ and $G$ be an elementary abelian $p$ -group.For some $n$ -dimensional cohyperplane $G$ -representations $V$ over $F_{p}$ , w…

Some four-dimensional orthogonal invariants

Modular invariants of a vector and a covector for some elementary abelian p-groups

Modular invariants of a vector and a covector for some elementary abelian $p$ -groups