7 citations · 12 across the 4 of their papers we have counts for
10 papers
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…
The minimal degeneration singularities in the affine Grassmannians
Anton Malkin, Viktor Ostrik, Maxim Vybornov
The minimal degeneration singularities in the affine Grassmannians of simple simply-laced algebraic groups are determined to be either Kleinian singularities of type A, or closures…
Module categories over representations of and graphs
Pavel Etingof, Viktor Ostrik
We classify module categories over the category of representations of quantum in a case when is not a root of unity. In a case when is a root of unity we classify m…
Finite tensor categories
Pavel Etingof, Viktor Ostrik
We start the general structure theory of not necessarily semisimple finite tensor categories, generalizing the results in the semisimple case (i.e. for fusion categories), obtained…
Fusion categories of rank 2
Viktor Ostrik
We classify semisimple rigid monoidal categories with two isomorphism classes of simple objects over the field of complex numbers. In the appendix written by P.Etingof it is proved…
From Double Hecke algebra to Fourier transform
Ivan Cherednik, Viktor Ostrik
The paper contains a systematic theory of the one-dimensional Double Hecke algebra, including applications to the difference Fourier transform, Macdonald's polynomials, Gaussian su…