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

Tomoyuki Arakawa, Alexander Premet

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    Abstract

    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 A and all minimal nilpotent cases outside type E8.
    Original languageEnglish
    Pages (from-to)217-234
    Number of pages17
    JournalTransactions of the Moscow Mathematical Society
    Volume78
    Issue number2
    Early online date1 Dec 2017
    DOIs
    Publication statusPublished - 2017

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