483 citations · 1.7k across the 181 of their papers we have counts for
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Quantization of classical dynamical -matrices with nonabelian base
B. Enriquez, P. Etingof
We construct some classes of dynamical -matrices over a nonabelian base, and quantize some of them by constructing dynamical (pseudo)twists in the sense of Xu. This way, we obta…
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…
On the invertibility of quantization functors
B. Enriquez, P. Etingof
Certain quantization problems are equivalent to the construction of morphisms from "quantum" to "classical" props. Once such a morphism is constructed, Hensel's lemma shows that it…
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 the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras
Pavel Etingof, Victor Kac
Recently, motivated by supersymmetric gauge theory, Cachazo, Douglas, Seiberg, and Witten proposed a conjecture about finite dimensional simple Lie algebras, and checked it in the…
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…