74 citations · 119 across the 19 of their papers we have counts for
19 papers
A Hall-Fusion Bialgebra
Brian Day
We describe what might be called the "Hall-fusion" bialgebra constructed from a promonoidal double, and mention the corresponding face version for probicategories.
Enriched Herds And Finite Quantum Groupoids
Thomas Booker, Brian J. Day
We describe a finite quantum groupoid associated to any finite Vect_k enriched herd.
On endomorphism algebras of functors with non-compact domain
Brian Day
As a development of [2] and [3], we construct a "VN-bialgebra" in Vect_k for each k-linear split-semigroupal functor from a suitable monoidal category C to Vect_k. The main aim her…
Middle-Four Maps and Net Categories
Brian Day
We briefly relate the existence of a middle-four interchange map in a category with two monoidal structures, to the standard Cockett and Seely notion of a weakly distributive categ…
On The Existence Of Category Bicompletions
Brian J. Day
A completeness conjecture is advanced concerning the free small-colimit completion P(A) of a (possibly large) category A. The conjecture is based on the existence of a small genera…
Note On Endomorphism Algebras Of Separable Monoidal Functors
Brian J. Day, Craig A. Pastro
We recall the Tannaka construction for certain types of split monoidal functor into Vect_{k}, and remove the compactness restriction on the domain.