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Tr. Mosk. Mat. Obs., 2017, Volume 78, Issue 2, Pages 261–281 (Mi mmo600)  

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

T. Arakawaa, A. Premetb

a Research Institute for Mathematical Sciences, Kyoto University, Japan
b School of Mathematics, The University of Manchester, UK

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 $\mathrm{A}$ and all minimal nilpotent cases outside type $\mathrm{E}_8$.

Key words and phrases: Mishchenko–Fomenko subalgebras, vertex algebras, affine $W$-algebras

Funding Agency Grant Number
Japan Society for the Promotion of Science 25287004
26610006
Leverhulme Trust RPG-2013–293
T. Arakawa is partially supported by JSPS KAKENHI Grants (#25287004 and #26610006). A. Premet was supported by the Leverhulme Trust (Grant RPG-2013–293).


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English version:
Transactions of the Moscow Mathematical Society, 2017, 78, 217–234

Document Type: Article
UDC: 512.554.31, 512.554.32, 512.554.342
MSC: 17B35, 17B08, 17B20, 17B69
Received: 25.01.2017
Revised: 19.05.2017
Language: English

Citation: T. Arakawa, A. Premet, “Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras”, Tr. Mosk. Mat. Obs., 78, no. 2, MCCME, M., 2017, 261–281; Trans. Moscow Math. Soc., 78 (2017), 217–234

Citation in format AMSBIB
\Bibitem{AraPre17}
\by T.~Arakawa, A.~Premet
\paper Quantizing
Mishchenko--Fomenko subalgebras for~centralizers via affine $W\!$-algebras
\serial Tr. Mosk. Mat. Obs.
\yr 2017
\vol 78
\issue 2
\pages 261--281
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo600}
\elib{http://elibrary.ru/item.asp?id=37045066}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2017
\vol 78
\pages 217--234
\crossref{https://doi.org/10.1090/mosc/264}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85037647124}


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