94 citations · 680 across the 32 of their papers we have counts for
33 papers
Weak Bialgebras of Fractions
Steve Bennoun, Hendryk Pfeiffer
We construct the algebra of fractions of a Weak Bialgebra relative to a suitable denominator set of group-like elements that is `almost central', a condition we introduce in the pr…
Weak Hopf Algebras unify the Hennings-Kauffman-Radford and the Reshetikhin-Turaev invariant
Hendryk Pfeiffer
We present an invariant of connected and oriented closed 3-manifolds based on a coribbon Weak Hopf Algebra H with a suitable left-integral. Our invariant can be understood as the g…
Fusion categories in terms of graphs and relations
Hendryk Pfeiffer
Every fusion category C that is k-linear over a suitable field k, is the category of finite-dimensional comodules of a Weak Hopf Algebra H. This Weak Hopf Algebra is finite-dimensi…
Finitely semisimple spherical categories and modular categories are self-dual
Hendryk Pfeiffer
We show that every essentially small finitely semisimple k-linear additive spherical category in which k=End(1) is a field, is equivalent to its dual over the long canonical forget…
Tannaka-Krein reconstruction and a characterization of modular tensor categories
Hendryk Pfeiffer
We show that every modular category is equivalent as an additive ribbon category to the category of finite-dimensional comodules of a Weak Hopf Algebra. This Weak Hopf Algebra is f…
Topological Higher Gauge Theory - from BF to BFCG theory
F. Girelli, H. Pfeiffer, E. M. Popescu
We study generalizations of 3- and 4-dimensional BF-theory in the context of higher gauge theory. First, we construct topological higher gauge theories as discrete state sum models…