16 citations · 27 across the 4 of their papers we have counts for
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math.RT2002
A characterization of Dynkin elements
Paul E. Gunnells, Eric Sommers
We give a characterization of the Dynkin elements of a simple Lie algebra. Namely, we prove that one-half of a Dynkin element is the unique point of minimal length in its N-region.…
math.RT2002
Normality of nilpotent varieties in
Eric Sommers
We determine which nilpotent orbits in have normal closure and which do not. We also verify a conjecture about small representations in rings of functions on nilpotent orbit…
math.RT2002
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)…