6 papers
Fully exact and fully dualizable module categories
Azat M. Gainutdinov, Robert Laugwitz
We define fully exact module categories, a subclass of exact module categories over a finite braided tensor category that is stable under the relative Deligne product. In contrast,…
Temperley-Lieb categories with coloured regions and Jones-Wenzl projectors
Cameron Howat, Robert Laugwitz, Martin Ray
Generalised Temperley-Lieb categories with regions labelled by elements of a commutative algebra were introduced by M. Khovanov and the second author in [Pure Appl. Math. Q. 19 (20…
Presentations for small reflection equation algebras of type A
Juliet Cooke, Robert Laugwitz
We give presentations, in terms of the generators and relations, for the reflection equation algebras of type and , i.e., the covariantized algebras of the dual Hopf a…
Frobenius monoidal functors induced by Frobenius extensions of Hopf algebras
Johannes Flake, Robert Laugwitz, Sebastian Posur
We show that induction along a Frobenius extension of Hopf algebras is a Frobenius monoidal functor in great generality, in particular, for all finite-dimensional and all pointed H…
Shifted Poisson structures on higher Chevalley-Eilenberg algebras
Cameron Kemp, Robert Laugwitz, Alexander Schenkel
This paper develops a graphical calculus to determine the -shifted Poisson structures on finitely generated semi-free commutative differential graded algebras. When applied to t…
Frobenius monoidal functors from ambiadjunctions and their lifts to Drinfeld centers
Johannes Flake, Robert Laugwitz, Sebastian Posur
We identify general conditions, formulated using the projection formula morphisms, for a functor that is simultaneously left and right adjoint to a strong monoidal functor to be a…