8,163 research outputs found

    Lusztig's Canonical Quotient and Generalized Duality

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    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 E6E_6

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    We determine which nilpotent orbits in E6E_6 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 E6E_6.Comment: 13 page
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