Quantizing

T. Arakawa ; A. Premet

Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 78 (2017) no. 2, pp. 261-281.

Résumé

We use affine $W\!$-algebras to quantize Mishchenko–Fomenko subalgebras for centralizers of nilpotent elements in finite dimensional simple Lie algebras under certain assumptions that are satisfied for all cases in type $\mathrm{A}$ and all minimal nilpotent cases outside type $\mathrm{E}_8$.

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