Ryuji Tanimoto

collaborators

4 papers

math.AG2025

Birational equivalence of exponential matrices

Ryuji Tanimoto

In this article, we consider birational equivalence of exponential matrices. In characteristic zero, we give a birational classification of exponential matrices of size $n$ -by- $n$ …

math.RT2025

Exponential matrices, $G_{a}$ -actions on projective spaces and modular representations of elementary abelian $p$ -groups

Ryuji Tanimoto

Let $k$ be an algebraically closed field of positive characteristic $p$ and let $G_{a}$ denote the additive group of $k$ . Let $n \geq 1$ and let $Mat (n, k [T])^{E}$ denot…

math.RT2025

Homomorphisms from $SL (2, k)$ to $SL (4, k)$ in positive characteristic

Ryuji Tanimoto

Let $k$ be an algebraically closed field of positive characteistic $p$ and let $SL (n, k)$ denote the special linear algebraic group of degree $n$ over $k$ . In this paper, we…

math.AC2024

Triangular involutions of the four-dimensional polynomial ring in characteristic two

Ryuji Tanimoto

We are concerned with polynomial involutions in characteristic two. In this note, we look for involutions among triangular automorphisms of the four-dimensional polynomial ring in…

Birational equivalence of exponential matrices

Exponential matrices, Ga​-actions on projective spaces and modular representations of elementary abelian p-groups

Homomorphisms from SL(2,k) to SL(4,k) in positive characteristic

Triangular involutions of the four-dimensional polynomial ring in characteristic two

Exponential matrices, $G_{a}$ -actions on projective spaces and modular representations of elementary abelian $p$ -groups

Homomorphisms from $SL (2, k)$ to $SL (4, k)$ in positive characteristic