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arxiv: 1611.00852 · v3 · pith:YKXLN4NGnew · submitted 2016-11-03 · 🧮 math.RT · math.QA

Quantizing Mishchenko-Fomenko subalgebras for centralizers via affine W-algebras

classification 🧮 math.RT math.QA
keywords affinecasescentralizersmishchenko-fomenkonilpotentsubalgebrastypew-algebras
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We use affine W-algebras to quantize Mishchenko-Fomenko subalgebras for centralizers of nilpotent elements in simple Lie algebras under certain assumptions that are satisfied for all cases in type A and all minimal nilpotent cases outside type $E_8$.

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