122 citations · 189 across the 14 of their papers we have counts for
11 papers · 1 filter
Fusion modules and amenability of coideals of compact and discrete quantum groups
Benjamin Anderson-Sackaney, Leonid Vainerman
We give a definition of an amenable fusion module over a fusion algebra. A notion of relative integrability for the `coduals' of coideals of compact quantum groups was recently int…
Yetter-Drinfel'd algebras and coideals of Weak Hopf -Algebras
Leonid Vainerman, Jean-Michel Vallin
We characterize braided commutative Yetter-Drinfeld -algebras over weak Hopf -algebras in categorical terms. Using this, we then study quotient type coideal subalgebras o…
Classifying (Weak) Coideal Subalgebras of Weak Hopf C*-Algebras
Leonid Vainerman, Jean-Michel Vallin
We develop a general approach to the problem of classification of weak coideal C*-subalgebras of weak Hopf C*-algebras. As an example, we consider weak Hopf C*-algebras and their w…
On Z/2Z-extensions of pointed fusion categories
Leonid Vainerman, Jean-Michel Vallin
We give a classification of Z/2Z-graded fusion categories whose 0-component is a pointed fusion category. A number of concrete examples is considered.
The Tambara-Yamagami categories and 3-manifold invariants
Vladimir Turaev, Leonid Vainerman
We prove that if two Tambara-Yamagami categories TY(A,χ,ν) and TY(A',χ',ν') give rise to the same state sum invariants of 3-manifolds and the order of one of the groups A, A' is od…
The bicrossed product construction for locally compact quantum groups
Leonid Vainerman
The cocycle bicrossed product construction allows certain freedom in producing examples of locally compact quantum groups. We give an overview of some recent examples of this kind…