M. Korhonen

activity

20182021

collaborators

5 papers

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.RT2021

Decomposition of exterior and symmetric squares in characteristic two

Mikko Korhonen

Let $V$ be a finite-dimensional vector space over a field of characteristic two. As the main result of this paper, for every nilpotent element $e \in sl (V)$ , we describe…

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…