All Outputs (3)

Cell 2-Representations and Categorification at Prime Roots of Unity (2019)
Journal Article
Laugwitz, R., & Miemietz, V. (2020). Cell 2-Representations and Categorification at Prime Roots of Unity. Advances in Mathematics, 361, https://doi.org/10.1016/j.aim.2019.106937

Motivated by recent advances in the categorification of quantum groups at prime roots of unity, we develop a theory of 2-representations for 2- categories, enriched with a p-differential, which satisfy finiteness conditions analogous to those of fini... Read More about Cell 2-Representations and Categorification at Prime Roots of Unity.

The relative monoidal center and tensor products of monoidal categories (2019)
Journal Article
Laugwitz, R. (2020). The relative monoidal center and tensor products of monoidal categories. Communications in Contemporary Mathematics, 22(8), https://doi.org/10.1142/s0219199719500688

This paper develops a theory of monoidal categories relative to a braided monoidal category, called augmented monoidal categories. For such categories, balanced bimodules are defined using the formalism of balanced functors. It is shown that there ex... Read More about The relative monoidal center and tensor products of monoidal categories.

Comodule algebras and 2-cocycles over the (Braided) Drinfeld double (2019)
Journal Article
Laugwitz, R. (2019). Comodule algebras and 2-cocycles over the (Braided) Drinfeld double. Communications in Contemporary Mathematics, 21(04), Article 1850045. https://doi.org/10.1142/S0219199718500451

We show that for dually paired bialgebras, every comodule algebra over one of the paired bialgebras gives a comodule algebra over their Drinfeld double via a crossed product construction. These constructions generalize to working with bialgebra objec... Read More about Comodule algebras and 2-cocycles over the (Braided) Drinfeld double.