49 citations · 173 across the 15 of their papers we have counts for
16 papers
Local-global principles for the existence of Levi factors
David Harbater, Julia Hartmann, George McNinch
We discuss local-global principles for the existence of Levi factors (i.e., complements to the unipotent radical) for linear algebraic groups over one-variable function fields. We…
Some Good-Filtration Subgroups of Simple Algebraic Groups
Chuck Hague, George McNinch
Let G be a connected and reductive algebraic group over an algebraically closed field of characteristic p > 0. An interesting class of representations of G consists of those G-modu…
Levi decompositions of a linear algebraic group
George J. McNinch
If G is a connected linear algebraic group over the field k, a Levi factor of G is a reductive complement to the unipotent radical of G. If k has positive characteristic, G may hav…
Nilpotent centralizers and Springer isomorphisms
George McNinch, Donna Testerman
Let G be a semisimple algebraic group over a field K whose characteristic is very good for G, and let sigma be any G-equivariant isomorphism from the nilpotent variety to the unipo…
The centralizer of a nilpotent section
George J. McNinch
Let F be an algebraically closed field and let G be a semisimple F-algebraic group for which the characteristic of F is *very good*. If X in Lie(G) = Lie(G)(F) is a nilpotent eleme…
Completely reducible SL(2)-homomorphisms
George J. McNinch, Donna M. Testerman
Let K be any field, and let G be a semisimple group over K. Suppose the characteristic of K is positive and is very good for G. We describe all group scheme homomorphisms phi:SL(2)…