3 papers
math.QA2025
The braided monoidal structure of tube algebra representations
David Jaklitsch, Makoto Yamashita
We consider the tube algebra of a spherical semisimple multitensor category , and construct a braided monoidal structure with twist for its representations. We further…
math.QA2025
Pivotal Brauer-Picard groupoids and graded extensions
Agustina Czenky, David Jaklitsch, Dmitri Nikshych +4
We develop pivotal and spherical versions of graded extension theory. We define the corresponding analogues of Brauer-Picard -categorical groups and realize them as fixed points…
math.QA2025
On the structure of DHR bimodules of abstract spin chains
Lucas Hataishi, David Jaklitsch, Corey Jones +1
Abstract spin chains axiomatize the structure of local observables on the 1D lattice which are invariant under a global symmetry, and arise at the physical boundary of 2+1D topolog…