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

arXiv:1611.00852

Abstract

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 $E_8$.

The main result is stated and proved in greater generality. The present version is accepted for publication