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, 2009, Volume 5, 006, 4 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.006 (Mi sigma352) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Heisenberg-Type Families in $U_q(\widehat{sl_2})$

Alexander Zuevsky

Max-Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
Full-text PDF (171 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2009.006
Abstract: Using the second Drinfeld formulation of the quantized universal enveloping algebra $U_q(\widehat{sl_2})$ we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a Heisenberg subalgebra. Explicit expressions for new family of generators are found.
Keywords: quantized universal enveloping algebras; Heisenberg-type families.
Received: October 20, 2008; in final form January 13, 2009; Published online January 15, 2009
Bibliographic databases:
Document Type: Article
MSC: 17B37; 20G42; 81R50
Language: English
Citation: Alexander Zuevsky, “Heisenberg-Type Families in $U_q(\widehat{sl_2})$”, SIGMA, 5 (2009), 006, 4 pp.
Citation in format AMSBIB
\Bibitem{Zue09}
\by Alexander Zuevsky
\paper Heisenberg-Type Families in $U_q(\widehat{sl_2})$
\jour SIGMA
\yr 2009
\vol 5
\papernumber 006
\totalpages 4
\mathnet{http://mi.mathnet.ru/sigma352}
\crossref{https://doi.org/10.3842/SIGMA.2009.006}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2481486}
\zmath{https://zbmath.org/?q=an:05555904}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267267900006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953716107}
Linking options:
  • https://www.mathnet.ru/eng/sigma352
  • https://www.mathnet.ru/eng/sigma/v5/p6
    • This publication is cited in the following 2 articles:
    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:308
    Full-text PDF :63
    References:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024