45 citations · 59 across the 3 of their papers we have counts for
8 papers
Optimal SL(2)-homomorphisms
George Joseph McNinch
Let G be a semisimple group over an algebraically closed field of very good characteristic for G. In the context of geometric invariant theory, G. Kempf has associated optimal coch…
Nilpotent orbits over ground fields of good characteristic
George J. McNinch
Let X be an F-rational nilpotent element in the Lie algebra of a connected and reductive group G defined over the ground field F. Suppose that the Lie algebra has a non-degenerate…
Adjoint Jordan Blocks
George J. McNinch
Let G be a quasisimple algebraic group over an algebraically closed field of characteristic p>0. We suppose that p is very good for G; since p is good, there is a bijection between…
Component groups of unipotent centralizers in good characteristic
George J. McNinch, Eric Sommers
Let G be a connected, reductive group over an algebraically closed field of good characteristic. For u in G unipotent, we describe the conjugacy classes in the component group A(u)…
Faithful representations of SL(2) over truncated Witt vectors
George J. McNinch
Let G be the six dimensional linear algebraic k-group SL_2(W_2), where W_2 is the ring of Witt vectors of length two over the algebraically closed field k of characteristic p>2. Th…
Sub-principal homomorphisms in positive characteristic
George J. McNinch
Let G be a reductive group over an algebraically closed field of characteristic p, and let u in G be a unipotent element of order p. Suppose that p is a good prime for G. We show i…