57 citations · 69 across the 8 of their papers we have counts for
27 papers · 1 filter
On the Hopf-Schur group of a field
Eli Aljadeff, Juan Cuadra, Shlomo Gelaki +1
Let k be any field. We consider the Hopf-Schur group of k, defined as the subgroup of the Brauer group of k consisting of classes that may be represented by homomorphic images of H…
Group-theoretical properties of nilpotent modular categories
Vladimir Drinfeld, Shlomo Gelaki, Dmitri Nikshych +1
We characterize a natural class of modular categories of prime power Frobenius-Perron dimension as representation categories of twisted doubles of finite p-groups. We also show tha…
Frobenius-Schur indicators for semisimple Lie algebras
Mohammad Abu-Hamed, Shlomo Gelaki
Let g be a finite dimensional complex semisimple Lie algebra, and let V be a finite dimensional represenation of g. We give a closed formula for the mth Frobenius-Schur indicator,…
Liftings of graded quasi-Hopf algebras with radical of prime codimension
Pavel Etingof, Shlomo Gelaki
Let p be a prime, and let RG(p) denote the set of equivalence classes of radically graded finite dimensional quasi-Hopf algebras over C, whose radical has codimension p. The purpos…
Basic quasi-Hopf algebras of dimension n^3
Shlomo Gelaki
It is shown in math.QA/0310253 that a finite dimensional quasi-Hopf algebra over the complex numbers with radical of codimension 2 is twist equivalent to a Nichols Hopf algebra, or…
Finite dimensional quasi-Hopf algebras with radical of codimension 2
Pavel Etingof, Shlomo Gelaki
It is shown in math.QA/0301027 that a finite dimensional quasi-Hopf algebra with radical of codimension 1 is semisimple and 1-dimensional. On the other hand, there exist quasi-Hopf…