112 citations · 150 across the 19 of their papers we have counts for
23 papers · 1 filter
Edifices: Building-like spaces associated to linear algebraic groups
Michael Bate, Benjamin Martin, Gerhard Roehrle
Given a semisimple linear algebraic -group , one has a spherical building , and one can interpret the geometric realisation of in terms of cochara…
Complete reducibility for Lie subalgebras and semisimplification
Michael Bate, Sören Böhm, Benjamin Martin +2
Let be a connected reductive linear algebraic group over a field . Using ideas from geometric invariant theory, we study the notion of -complete reducibility over for…
Powers of commutators in linear algebraic groups
Benjamin Martin
Let be a linear algebraic group over , where is an algebraically closed field, a pseudo-finite field or the valuation ring of a nonarchimedean local field. Le…
Algebraic groups and -complete reducibility: a geometric approach
Benjamin Martin
The notion of a \emph{-completely reducible} subgroup is important in the study of algebraic groups and their subgroup structure. It generalizes the usual idea of complete reduc…
Uniform boundedness for algebraic groups and Lie groups
Jarek Kędra, Assaf Libman, Ben Martin
Let be a semisimple linear algebraic group over a field and let be the subgroup generated by the subgroups , where ranges over all the minimal -p…
Overgroups of regular unipotent elements in reductive groups
Michael Bate, Ben Martin, Gerhard Roehrle
We study reductive subgroups of a reductive linear algebraic group -- possibly non-connected -- such that contains a regular unipotent element of . We show that unde…