Kazhdan-Lusztig tensoring and Harish-Chandra categories

Mathematics – Quantum Algebra

Scientific paper

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22 pages latex

Scientific paper

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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