# On q-analog of McKay correspondence and ADE classification of sl^(2) conformal field theories

@inproceedings{Kirillov2001OnQO, title={On q-analog of McKay correspondence and ADE classification of sl^(2) conformal field theories}, author={A. Kirillov and V. Ostrik}, year={2001} }

The goal of this paper is to classify “finite subgroups in Uq(sl2)” where q = eπi/l is a root of unity. We propose a definition of such a subgroup in terms of the category of representations of Uq(sl2); we show that this definition is a natural generalization of the notion of a subgroup in a reductive group, and that it is also related with extensions of the chiral (vertex operator) algebra corresponding to ŝl2 at level k = l − 2. We show that “finite subgroups in Uq(sl2)” are classified by… Expand

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