2 papers
math.RT2024
Geometric rigidity of simple modules for algebraic groups
Michael Bate, David I. Stewart
Let k be a field, let G be an affine algebraic k-group and V a finite-dimensional G-module. We say V is rigid if the socle series and radical series coincide for the action of G on…
math.GR2022
A construction of pseudo-reductive groups with non-reduced root system
Michael Bate, Gerhard Röhrle, Damian Sercombe +1
We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type ; these exist only in cha…