Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 515, Pages 40–43
DOI: https://doi.org/10.31857/S2686954324010064 (Mi danma490) 		 
MATHEMATICS

Ramond and Neveu–Schwarz algebras and narrow Lie superalgebras

D. V. Millionshchikova, F. I. Pokrovskyb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Bauman Moscow State Technical University, Moscow, Russia
DOI: https://doi.org/10.31857/S2686954324010064
Abstract: Two one-parameter families of positively graded Lie superalgebras generated by two elements and two relations that are narrow in the sense of Zelmanov and Shalev are considered. The first family contains the positive part $R^+$ of the Ramond algebra, while the second one contains the positive part $NS^+$ of the Neveu–Schwarz algebra. The results of the article are super analogues of Benoist’s theorem on defining the positive part of the Witt algebra by generators and relations.
Keywords: Lie superalgebra, positive grading, narrow algebras, central extension, Ramond algebra, Neveu–Schwarz algebra.
Funding agency Grant number
Russian Science Foundation 23-11-00143
Millionshchikov’s research (Theorem 1) was supported by the Russian Science Foundation, project no. 23-11-00143, https://rscf.ru/en/project/23-11-00143/ and was performed at Steklov Mathematical Institute of the Russian Academy of Sciences.
Presented: S. P. Novikov
Received: 11.11.2023
Revised: 28.11.2023
Accepted: 12.12.2023
English version:
Doklady Mathematics, 2024, Volume 109, Issue 1, Pages 30–32
DOI: https://doi.org/10.1134/S1064562424701710
Bibliographic databases:
Document Type: Article
UDC: 512.554.33
Language: Russian
Citation: D. V. Millionshchikov, F. I. Pokrovsky, “Ramond and Neveu–Schwarz algebras and narrow Lie superalgebras”, Dokl. RAN. Math. Inf. Proc. Upr., 515 (2024), 40–43; Dokl. Math., 109:1 (2024), 30–32
Citation in format AMSBIB
\Bibitem{MilPok24}
\by D.~V.~Millionshchikov, F.~I.~Pokrovsky
\paper Ramond and Neveu--Schwarz algebras and narrow Lie superalgebras
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 515
\pages 40--43
\mathnet{http://mi.mathnet.ru/danma490}
\crossref{https://doi.org/10.31857/S2686954324010064}
\elib{https://elibrary.ru/item.asp?id=67973247}
\transl
\jour Dokl. Math.
\yr 2024
\vol 109
\issue 1
\pages 30--32
\crossref{https://doi.org/10.1134/S1064562424701710}
Linking options:
  • https://www.mathnet.ru/eng/danma490
  • https://www.mathnet.ru/eng/danma/v515/p40
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024