Affine buildings for dihedral groups

Affine buildings for dihedral groups

We construct rank 2 thick nondiscrete affine buildings associated with an arbitrary finite dihedral group.

Dihedral Groups

On Discrete Chamber-transitive Automorphism Groups of Affine Buildings

1. Introduction. Let A be the affine building of a simple adjoint algebraic group Q of relative rank > 2 over a locally compact local field K. Let Aut A (resp. E Aut A) denote the group of type-preserving (resp. of all) auto-morphisms of A. Note that E Aut A contains the group $(K) of ÜT-rational points of §. We will be interested in discrete subgroups of Aut A which are chamber-transitive on A...

Soergel Diagrammatics for Dihedral Groups

Soergel Diagrammatics for Dihedral Groups

Springer Correspondences for Dihedral Groups

Recent work by a number of people has shown that complex reflection 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...