Canonical Forms for Dihedral and Symmetric Groups

Matchings and Canonical Forms for Symmetric Tensors

Let V be a q-dimensional vector space. Fix a set B of q(q − 1) monomials in S(V ) of the form x where ik > 0 for all k. The generic element of S(V ) is conjugate under a suitable linear transformation to an element with support off of B. We prove this by showing the existence of a perfect matching with a unique weight in a certain weighted bipartite graph. Such a perfect matching corresponds to...

Affine buildings for dihedral groups

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

Dihedral Groups

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...