Loading [MathJax]/jax/output/SVG/config.js
Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 1, Pages 61–64
DOI: https://doi.org/10.4213/faa3487 (Mi faa3487) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Brief communications

Restricted Lie (Super)Algebras in Characteristic 3

S. Bouarroudja, A. O. Krutovbc, A. V. Lebedevd, D. A. Leitesae, I. M. Shchepochkinac

a Division of Science and Mathematics, New York University, Abu Dhabi, United Arab Emirates
b Institute of Mathematics, Polish Academy of Sciences, Warszawa, Poland
c Independent University of Moscow, Moscow, Russia
d Equa Simulation AB, Stockholm, Sweden
e Department of Mathematics, Stockholm University, Stockholm, Sweden
Full-text PDF (159 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3487
Abstract: We give explicit formulas proving that the following Lie (super)algebras are restricted: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (super)algebras with indecomposable Cartan matrix, simple subquotients over an algebraically closed field of characteristic 3 of these (super)algebras (under certain conditions), and deformed divergence-free Lie superalgebras of a certain type with any finite number of indeterminates in any characteristic.
Keywords: restricted Lie algebra, characteristic 3, Lie superalgebra.
Funding agency Grant number
New York University Abu Dhabi AD 065
The work of S. B. was supported in part by the grant AD 065 NYUAD.
Received: 14.12.2016
Accepted: 26.05.2017
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 1, Pages 49–52
DOI: https://doi.org/10.1007/s10688-018-0206-7
Bibliographic databases:
Document Type: Article
UDC: 512.554.38
Language: Russian
Citation: S. Bouarroudj, A. O. Krutov, A. V. Lebedev, D. A. Leites, I. M. Shchepochkina, “Restricted Lie (Super)Algebras in Characteristic 3”, Funktsional. Anal. i Prilozhen., 52:1 (2018), 61–64; Funct. Anal. Appl., 52:1 (2018), 49–52
Citation in format AMSBIB
\Bibitem{BouKruLeb18}
\by S.~Bouarroudj, A.~O.~Krutov, A.~V.~Lebedev, D.~A.~Leites, I.~M.~Shchepochkina
\paper Restricted Lie (Super)Algebras in Characteristic 3
\jour Funktsional. Anal. i Prilozhen.
\yr 2018
\vol 52
\issue 1
\pages 61--64
\mathnet{http://mi.mathnet.ru/faa3487}
\crossref{https://doi.org/10.4213/faa3487}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3762287}
\elib{https://elibrary.ru/item.asp?id=32428043}
\transl
\jour Funct. Anal. Appl.
\yr 2018
\vol 52
\issue 1
\pages 49--52
\crossref{https://doi.org/10.1007/s10688-018-0206-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000428558200006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044793596}
Linking options:
  • https://www.mathnet.ru/eng/faa3487
  • https://doi.org/10.4213/faa3487
  • https://www.mathnet.ru/eng/faa/v52/i1/p61
    • This publication is cited in the following 7 articles:
    1. Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites, “Deformations of Symmetric Simple Modular Lie (Super)Algebras”, SIGMA, 19 (2023), 031, 66 pp.  mathnet  crossref  mathscinet
    2. Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev, Dimitry Leites, “Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras (with an Appendix by Andrey Krutov)”, SIGMA, 19 (2023), 032, 73 pp.  mathnet  crossref  mathscinet
    3. Sofiane Bouarroudj, Quentin Ehret, Yoshiaki Maeda, “Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras”, SIGMA, 19 (2023), 070, 29 pp.  mathnet  crossref
    4. S. Bouarroudj, A. Lebedev, D. Leites, I. Shchepochkina, “Classification of simple Lie superalgebras in characteristic 2”, International Mathematics Research Notices, 2023:1 (2023), 54  crossref  mathscinet
    5. Bouarroudj S., Navarro R.M., “Cohomologically Rigid Solvable Lie Superalgebras With Model Filiform and Model Nilpotent Nilradical”, Commun. Algebr., 49:12 (2021), 5061–5072  crossref  mathscinet  isi
    6. Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev, Dimitry Leites, Irina Shchepochkina, “Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations”, SIGMA, 16 (2020), 089, 101 pp.  mathnet  crossref
    7. Saïd Benayadi, Sofiane Bouarroudj, Mounir Hajli, “Double Extensions of Restricted Lie (Super)Algebras”, Arnold Math J., 6:2 (2020), 231  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:538
    Full-text PDF :59
    References:74
    First page:19
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025