M. Korhonen

activity

20162023

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

9 citations · 29 across the 10 of their papers we have counts for

collaborators

10 papers

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

Representatives for unipotent classes and nilpotent orbits

Mikko Korhonen, David I. Stewart, Adam R. Thomas

Let $G$ be a simple algebraic group over an algebraically closed field $k$ of characteristic $p$ . The classification of the conjugacy classes of unipotent elements of $G (k)$ and ni…

math.GR2021★ 4 cited

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★ 1 cited

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.GR2020★ 1 cited

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

Mikko Korhonen

Let $G$ be a classical group with natural module $V$ and Lie algebra $g$ over an algebraically closed field $K$ of good characteristic. For rational irreducible represen…

math.GR2019★ 4 cited

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★ 9 cited

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…

math.GR2017★ 6 cited

Unipotent elements forcing irreducibility in linear algebraic groups

Mikko Korhonen

Let $G$ be a simple algebraic group over an algebraically closed field $K$ of characteristic $p > 0$ . We consider connected reductive subgroups $X$ of $G$ that contain a given dist…

math.GR2016★ 4 cited

Invariant forms on irreducible modules of simple algebraic groups

Mikko Korhonen

Let $G$ be a simple linear algebraic group over an algebraically closed field $K$ of characteristic $p \geq 0$ and let $V$ be an irreducible rational $G$ -module with highest weight…

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

Representatives for unipotent classes and nilpotent orbits

Systems of imprimitivity for wreath products

Decomposition of exterior and symmetric squares in characteristic two

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

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

Unipotent elements forcing irreducibility in linear algebraic groups

Invariant forms on irreducible modules of simple algebraic groups

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