122 citations · 189 across the 14 of their papers we have counts for
16 papers
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…
Tannaka-Krein reconstruction for coactions of finite quantum groupoids
Leonid Vainerman, Jean-Michel Vallin
We study coactions of finite quantum groupoids on unital -algebras and obtain the Tannaka-Krein reconstruction theorem for them.
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…