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Kazhdan-Lusztig tensoring and Harish-Chandra categories

I. B. Frenkel, F. Malikov

q-algarXiv:q-alg/9703010

Abstract

We use the Kazhdan-Lusztig tensoring to define affine translation functors, describe annihilating ideals of highest weight modules over an affine Lie algebra in terms of the corresponding VOA, and to sketch a functorial approach to ``affine Harish-Chandra bimodules''.

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