53 citations · 61 across the 5 of their papers we have counts for
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On --equivariant modular categories
Alexander Kirillov
In this paper, we study -equivariant tensor categories for a finite group . These categories were introduced by Turaev under the name of -crossed categories; the motivatin…
On the modular functor associated with a finite group
Alexander Kirillov
In this note, we give a description of the modular functor associated to the Chern-Simons theory with a finite group from the complex-analytic point of view, i.e. as a vector bundl…
Modular categories and orbifold models II
Alexander Kirillov
This is a continuation of the paper "Modular tensor categories and orbifold theories", arXiv:math.QA/0104242. It discusses orbifold models of conformal filed theory, or, in mathema…
On q-analog of McKay correspondence and ADE classification of sl^(2) conformal field theories
Alexander Kirillov, Viktor Ostrik
The goal of this paper is to classify ``finite subgroups in U_q sl(2)'' where is a root of unity. We propose a definition of such a subgroup in terms of the category…