8,327 research outputs found
Lusztig's Canonical Quotient and Generalized Duality
We present a new characterization of Lusztig's canonical quotient group. We
also define a duality map: to a pair consisting of a nilpotent orbit and a
conjugacy class in its fundamental group, the map assigns a nilpotent orbit in
the Langlands dual Lie algebra.Comment: 21 page
Normality of nilpotent varieties in
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 covers for type .Comment: 13 page
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