4 papers
Representations of infinite species
Raphael Bennett-Tennenhaus, Job Daisie Rock
We consider species, consisting of a possibly infinite set of rings, and bimodules between them. Simson realised the category of representations as a functor category, which we pro…
Preprojective categories of type A
Job Daisie Rock, Hugh Thomas
We introduce a continuous version of preprojective algebras of type . In particular, we are interested in the preprojective category over an open, bounded subinterval $\mathbb{I…
A continuous associahedron of type A
Maitreyee C. Kulkarni, Jacob P. Matherne, Kaveh Mousavand +1
Taking a representation-theoretic viewpoint, we construct a continuous associahedron motivated by the realization of the generalized associahedron in the physical setting. We show…
Categories of generalized thread quivers
Charles Paquette, Job Daisie Rock, Emine Yıldırım
We study the representation category of thread quivers and their quotients. A thread quiver is a quiver in which some arrows have been replaced by totally ordered sets. Pointwise f…