Sören Böhm

collaborators

3 papers

math.GR2024

On good $A_{1}$ subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups

Michael Bate, Sören Böhm, Benjamin Martin +1

Suppose $G$ is a simple algebraic group defined over an algebraically closed field of good characteristic $p$ . In 2018 Korhonen showed that if $H$ is a connected reductive subgroup…

math.RT2024

$G$ -complete reducibility and saturation

Michael Bate, Sören Böhm, Alastair Litterick +2

Let $H \subseteq G$ be connected reductive linear algebraic groups defined over an algebraically closed field of characteristic $p > 0$ . In our first main theorem we show that if a…

math.GR2023

Complete reducibility for Lie subalgebras and semisimplification

Michael Bate, Sören Böhm, Benjamin Martin +2

Let $G$ be a connected reductive linear algebraic group over a field $k$ . Using ideas from geometric invariant theory, we study the notion of $G$ -complete reducibility over $k$ for…

On good A1​ subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups

G-complete reducibility and saturation

Complete reducibility for Lie subalgebras and semisimplification

On good $A_{1}$ subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups

$G$ -complete reducibility and saturation