Springer Correspondences for Dihedral Groups

Recent work by a number of people has shown that complex reection groups give rise to many representation-theoretic structures (e.g., generic degrees and families of characters), as though they were Weyl groups of algebraic groups. Conjecturally, these structures are actually describing the representation theory of as-yet undescribed objects called spetses, of which reductive algebraic groups ought to be a special case.