A pinned canonical bijection is constructed between Lusztig series and unipotent characters of possibly disconnected dual centralizers for finite reductive groups, with an enriched version for disconnected groups.
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Pinned Jordan Decomposition of Characters and Depth-Zero Hecke Algebras
A pinned canonical bijection is constructed between Lusztig series and unipotent characters of possibly disconnected dual centralizers for finite reductive groups, with an enriched version for disconnected groups.