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, 108, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.108 (Mi sigma454) 		 
This article is cited in 8 scientific papers (total in 8 papers)

T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac–Moody Algebras

Atsuo Kunibaa, Tomoki Nakanishib, Junji Suzukic

a Institute of Physics, University of Tokyo, Tokyo, 153-8902, Japan
b Graduate School of Mathematics, Nagoya University, Nagoya, 464-8604, Japan
c Department of Physics, Faculty of Science, Shizuoka University, Ohya, 836, Japan
Full-text PDF (645 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2009.108
Abstract: The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently the T-systems were generalized to quantum affinizations of a wide class of quantum Kac–Moody algebras by Hernandez. In this note we introduce the corresponding Y-systems and establish a relation between T and Y-systems. We also introduce the T and Y-systems associated with a class of cluster algebras, which include the former T and Y-systems of simply laced type as special cases.
Keywords: T-systems; Y-systems; quantum groups; cluster algebras.
Received: October 5, 2009; in final form December 16, 2009; Published online December 19, 2009
Bibliographic databases:
Document Type: Article
MSC: 17B37; 13A99
Language: English
Citation: Atsuo Kuniba, Tomoki Nakanishi, Junji Suzuki, “T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac–Moody Algebras”, SIGMA, 5 (2009), 108, 23 pp.
Citation in format AMSBIB
\Bibitem{KunNakSuz09}
\by Atsuo Kuniba, Tomoki Nakanishi, Junji Suzuki
\paper T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac--Moody Algebras
\jour SIGMA
\yr 2009
\vol 5
\papernumber 108
\totalpages 23
\mathnet{http://mi.mathnet.ru/sigma454}
\crossref{https://doi.org/10.3842/SIGMA.2009.108}
\zmath{https://zbmath.org/?q=an:05708897}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000273139300002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889234647}
Linking options:
  • https://www.mathnet.ru/eng/sigma454
  • https://www.mathnet.ru/eng/sigma/v5/p108
    • This publication is cited in the following 8 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:246
    Full-text PDF :45
    References:48
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024