The exotic Robinson-Schensted correspondence

Anthony Henderson and Peter E. Trapa

Abstract

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.

AMS Subject Classification: Primary 20G20; Secondary 14M15, 17B08.