Laura Voggesberger

collaborators

2 papers

math.GR2024

Maximal subgroups of maximal rank in the classical algebraic groups

Vanthana Ganeshalingam, Damian Sercombe, Laura Voggesberger

Let $k$ be an arbitrary field. We classify the maximal reductive subgroups of maximal rank in any classical simple algebraic $k$ -group in terms of combinatorial data associated to…

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…