Symmetry, Integrability and Geometry: Methods and Applications
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


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 070, 29 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.070 (Mi sigma1965) 		 
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras

Sofiane Bouarroudja, Quentin Ehretb, Yoshiaki Maedac

a Division of Science and Mathematics, New York University Abu Dhabi, P.O. Box 129188, Abu Dhabi, United Arab Emirates
b University of Haute-Alsace, IRIMAS UR 7499, F-68100 Mulhouse, France
c Tohoku Forum for Creativity, Tohoku University, 2-1-1, Katahira, Aoba-ku, Sendai, Japan
Full-text PDF (572 kB)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2023.070
Abstract: In this paper, we present a method of symplectic double extensions for restricted quasi-Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent obstructions to symplectic double extension, which we fully describe. We found a necessary condition for which a restricted quasi-Frobenius Lie superalgebras is a symplectic double extension of a smaller restricted Lie superalgebra. The constructions are illustrated with a few examples.
Keywords: restricted Lie (super)algebra, quasi-Frobenius Lie (super)algebra, double extension.
Received: January 31, 2023; in final form September 11, 2023; Published online September 28, 2023
Document Type: Article
MSC: 17B50, 17B20
Language: English
Citation: Sofiane Bouarroudj, Quentin Ehret, Yoshiaki Maeda, “Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras”, SIGMA, 19 (2023), 070, 29 pp.
Citation in format AMSBIB
\Bibitem{BouEhrMae23}
\by Sofiane~Bouarroudj, Quentin~Ehret, Yoshiaki~Maeda
\paper Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
\jour SIGMA
\yr 2023
\vol 19
\papernumber 070
\totalpages 29
\mathnet{http://mi.mathnet.ru/sigma1965}
\crossref{https://doi.org/10.3842/SIGMA.2023.070}
Linking options:
  • https://www.mathnet.ru/eng/sigma1965
  • https://www.mathnet.ru/eng/sigma/v19/p70
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:42
    Full-text PDF :5
    References:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024