7 citations · 11 across the 5 of their papers we have counts for
25 papers
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…
Classification of fusion categories of dimension pq
Pavel Etingof, Shlomo Gelaki, Viktor Ostrik
In this paper we provide a complete classification of fusion categories of Frobenius-Perron (FP) dimension pq, where p<q are distinct primes, thus giving a categorical generalizati…
On Hopf algebras of dimension pq
Pavel Etingof, Shlomo Gelaki
In this paper we contribute to the classification of Hopf algebras of dimension pq, where p,q are distinct prime numbers. More precisely, we prove that if p and q are odd primes wi…
An affine PI Hopf algebra not finite over a normal commutative Hopf subalgebra
Shlomo Gelaki, Edward S. Letzter
In formulating a generalized framework to study certain noncommutative algebras naturally arising in representation theory, K. A. Brown asked if every finitely generated Hopf algeb…