George J. McNinch

Optimal

Let

SL(2)

G

-homomorphisms

be a semisimple group over an algebraically closed field of \emph{very good} characteristic for

Nilpotent orbits over ground fields of good characteristic

G

Abelian unipotent subgroups of reductive groups

. In the context of geometric invariant theory, G. Kempf and -- independently -- G. Rousseau have associated optimal cocharacters of

On the centralizer of the sum of commuting nilpotent elements

G

Completely reducible Lie subalgebras

to an unstable vector in a linear

Completely reducible (2)-homomorphisms

G

Semisimple Modules for Finite Groups of Lie Type

-representation. If the nilpotent element

Faithful representations of SL2 over truncated Witt vectors

X \in \Lie(G)