The exotic Robinson-Schensted correspondence
classification
🧮 math.RT
keywords
exoticcorrespondencerobinson-schenstedactionanaloguecellscharactercomponents
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We study the action of the symplectic group on pairs of a vector and a flag. Considering the irreducible components of the conormal variety, we obtain an exotic analogue of the Robinson-Schensted correspondence. Conjecturally, the resulting cells are related to exotic character sheaves.
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