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We show that the numbers of nilpotent coadjoint orbits in the dual of exceptional Lie algebra G2 in characteristic 3 and in the dual of exceptional Lie algebra F4 in characteristic 2 are finite. We determine the closure relation among nilpotent coadjoint orbits in the dual of Lie algebras of type B,C,F4 in characteristic 2 and in the dual of Lie algebra of type G2 in characteristic 3. In each case...
We show that the definition of unipotent (resp. nilpotent) pieces for classical groups given by Lusztig (resp. Lusztig and the author) coincides with the combinatorial definition using closure relations on unipotent classes (resp. nilpotent orbits). Moreover we give a closed formula for a map from the set of unipotent classes (resp. nilpotent orbits) in characteristic 2 to the set of unipotent classes...
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