The exotic Robinson-Schensted correspondence

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.

14 pages

References in corpus (5)

• Orbit closures in the enhanced nilpotent cone
• An exotic Deligne-Langlands correspondence for symplectic groups
• Mirabolic affine Grassmannian and character sheaves
• Deformations of nilpotent cones and Springer correspondences
• Normality of orbit closures in the enhanced nilpotent cone

Cited by in corpus (7)

• Irreducible components of exotic Springer fibres
• On orbits in double flag varieties for symmetric pairs
• Asymptotic Hecke algebras and Lusztig-Vogan bijection via affine matrix-ball construction
• Irreducible Components of Exotic Springer fibres II: The Exotic Robinson-Schensted Algorithm
• Enhanced adjoint action and their orbits for the general linear group
• A Robinson-Schensted Correspondence for Partial Permutations
• Real double flag varieties for the symplectic group