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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…
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…
Finite-dimensional quantum groups of type Super A and non-semisimple modular categories
Robert Laugwitz, Guillermo Sanmarco
We construct a series of finite-dimensional quantum groups as braided Drinfeld doubles of Nichols algebras of type Super A, for an even root of unity, and classify ribbon structure…
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…
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,…
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…