14 citations · 30 across the 11 of their papers we have counts for
12 papers
Note on star-autonomous comonads
Craig Pastro
We develop an alternative approach to star-autonomous comonads via linearly distributive categories. It is shown that in the autonomous case the notions of star-autonomous comonad…
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.
Weak Hopf monoids in braided monoidal categories
Craig Pastro, Ross Street
We develop the theory of weak bimonoids in braided monoidal categories and show them to be quantum categories in a certain sense. Weak Hopf monoids are shown to be quantum groupoid…
Note on Frobenius monoidal functors
Brian Day, Craig Pastro
It is well known that strong monoidal functors preserve duals. In this short note we show that a slightly weaker version of functor, which we call "Frobenius monoidal", is sufficie…
On endomorphism algebras of separable monoidal functors
Brian Day, Craig Pastro
We show that the (co)endomorphism algebra of a sufficiently separable "fibre" functor into Vect_k, for k a field of characteristic 0, has the structure of what we call a "unital" v…
Closed categories, star-autonomy, and monoidal comonads
Craig Pastro, Ross Street
This paper determines what structure is needed for internal homs in a monoidal category C to be liftable to the category C^G of Eilenberg-Moore coalgebras for a monoidal comonad G…