Acta Mathematica Vietnamica
Search within journal
Volumes and issues
A Categorification of the Ribbon Element in Quantum $\mathfrak{sl}(2)$
Anna Beliakova , Kazuo Habiropp. 225-264
Abstract
We define a bicomplex whose Euler characteristic is the idempotented version of the ribbon element of quantum $\mathfrak{sl}(2)$. We show that properties of this bicomplex descend to the centrality, invertibility, and symmetries of the ribbon element after decategorification.