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math.RT2025
-complete reducibility and saturation
Michael Bate, Sören Böhm, Alastair Litterick +2
Let be connected reductive linear algebraic groups defined over an algebraically closed field of characteristic . In our first main theorem we show that if a…
math.RT2025
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…