50 citations · 124 across the 31 of their papers we have counts for
5 papers · 2 filters
On normal tensor functors and coset decompositions for fusion categories
S. Burciu, A. Bruguières
We introduce the notion of double cosets relative to two fusion subcategories of a fusion category. Given a tensor functor $F : \C \to \D$ between fusion categories, we introduce a…
New examples of Green functors arising from representation theory of semisimple Hopf algebras
Sebastian Burciu
A general Mackey type decomposition for representations of semisimple Hopf algebras is investigated. We show that such a decomposition occurs in the case that the module is induced…
Fusion rules of equivariantizations of fusion categories
Sebastian Burciu, Sonia Natale
We determine the fusion rules of the equivariantization of a fusion category under the action of a finite group in terms of the fusion rules of and…
On coideal subalgebras of cocentral Kac algebras and a generalization of Wall's conjecture
Sebastian Burciu
It shown that any coideal subalgebra of a finite dimensional Hopf algebra is a cyclic module over the dual Hopf algebra. Using this we describe all coideal subalgebras of a cocentr…
On the irreducible representations of generalized quantum doubles
Sebastian Burciu
A description of all the irreducible representations of generalized quantum doubles associated to skew pairings of semisimple Hopf algebras is given. In particular a description of…