M. Korhonen

activity

20182023

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math.GR2023

Adjoint Jordan blocks for simple algebraic groups of type $C_{ℓ}$ in characteristic two

Mikko Korhonen

Let $G$ be a simple algebraic group over an algebraically closed field $K$ with Lie algebra $g$ . For unipotent elements $u \in G$ and nilpotent elements $e \in \mathfrak…

math.GR2021

Systems of imprimitivity for wreath products

Mikko Korhonen, Cai Heng Li

Let $G$ be an irreducible imprimitive subgroup of $GL_{n} (F)$ , where $F$ is a field. Any system of imprimitivity for $G$ can be refined to a nonrefin…

math.GR2019

Hesselink normal forms of unipotent elements in some representations of classical groups in characteristic two

Mikko Korhonen

Let $G$ be a simple linear algebraic group over an algebraically closed field $K$ of characteristic two. Any non-trivial self-dual irreducible $K [G]$ -module $W$ admits a non-degene…

math.GR2018

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Mikko Korhonen

Let $G$ be a classical group with natural module $V$ over an algebraically closed field of good characteristic. For every unipotent element $u$ of $G$ , we describe the Jordan block…

math.GR2018

A counterexample to a conjugacy conjecture of Steinberg

Mikko Korhonen

Let $G$ be a semisimple algebraic group over an algebraically closed field of characteristic $p \geq 0$ . At the 1966 International Congress of Mathematicians in Moscow, Robert Stei…

Adjoint Jordan blocks for simple algebraic groups of type Cℓ​ in characteristic two

Systems of imprimitivity for wreath products

Hesselink normal forms of unipotent elements in some representations of classical groups in characteristic two

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

A counterexample to a conjugacy conjecture of Steinberg

Adjoint Jordan blocks for simple algebraic groups of type $C_{ℓ}$ in characteristic two