Lusztig's Canonical Quotient and Generalized Duality
classification
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keywords
canonicaldualitygrouplusztignilpotentorbitquotientalgebra
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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.
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