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

Tomoyuki Arakawa; Alexander Premet

doi:10.1090/mosc/264

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 language	English
Pages (from-to)	217-234
Number of pages	17
Journal	Transactions of the Moscow Mathematical Society
Volume	78
Issue number	2
Early online date	1 Dec 2017
DOIs	https://doi.org/10.1090/mosc/264
Publication status	Published - 2017

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10.1090/mosc/264

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title = "Quantizing Mishchenko-Fomenko subalgebras for centralizers via affine W-algebras",

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.",

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DO - 10.1090/mosc/264

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JO - Transactions of the Moscow Mathematical Society

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

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