4 papers
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…
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…
On the finite generation of the cohomology of bosonizations
Nicolás Andruskiewitsch, David Jaklitsch, Van C. Nguyen +4
We use deformation sequences of (Hopf) algebras, extending the results of Negron and Pevtsova, to show that bosonizations of some suitable braided Hopf algebras by some suitable fi…
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…