Trudy Moskovskogo Matematicheskogo Obshchestva
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Moskovskogo Matematicheskogo Obshchestva, 2017, Volume 78, Issue 2, Pages 261–281 (Mi mmo600)  
This article is cited in 11 scientific papers (total in 11 papers)

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
Full-text PDF (314 kB) Citations (11) English version article
References:
PDF
HTML
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).
Received: 25.01.2017
Revised: 19.05.2017
English version:
Transactions of the Moscow Mathematical Society, 2017, Volume 78, Pages 217–234
DOI: https://doi.org/10.1090/mosc/264
Bibliographic databases:
Document Type: Article
UDC: 512.554.31, 512.554.32, 512.554.342
MSC: 17B35, 17B08, 17B20, 17B69
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{https://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{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85037647124}
Linking options:
  • https://www.mathnet.ru/eng/mmo600
  • https://www.mathnet.ru/eng/mmo/v78/i2/p261
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Moskovskogo Matematicheskogo Obshchestva
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025