Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 3, Pages 451–476
DOI: https://doi.org/10.4213/tmf6181 (Mi tmf6181) 		 
This article is cited in 5 scientific papers (total in 5 papers)

$\mathbb Z$-graded loop Lie algebras, loop groups, and Toda equations

Kh. Nirova, A. V. Razumovb

a Institute for Nuclear Research, Russian Academy of Sciences
b Institute for High Energy Physics
Full-text PDF (675 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6181
Abstract: We consider Toda equations associated with twisted loop groups. Such equations are specified by $\mathbb Z$-gradings of the corresponding twisted loop Lie algebras. We discuss the classification of Toda equations related to twisted loop Lie algebras with integrable $\mathbb Z$-gradings.
Keywords: Toda equation, loop group, $\mathbb Z$-graded loop Lie algebra.
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 3, Pages 385–404
DOI: https://doi.org/10.1007/s11232-008-0034-7
Bibliographic databases:
Language: Russian
Citation: Kh. Nirov, A. V. Razumov, “$\mathbb Z$-graded loop Lie algebras, loop groups, and Toda equations”, TMF, 154:3 (2008), 451–476; Theoret. and Math. Phys., 154:3 (2008), 385–404
Citation in format AMSBIB
\Bibitem{NirRaz08}
\by Kh.~Nirov, A.~V.~Razumov
\paper $\mathbb Z$-graded loop Lie algebras, loop groups, and Toda equations
\jour TMF
\yr 2008
\vol 154
\issue 3
\pages 451--476
\mathnet{http://mi.mathnet.ru/tmf6181}
\crossref{https://doi.org/10.4213/tmf6181}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2431557}
\zmath{https://zbmath.org/?q=an:1153.37033}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2008TMP...154..385N}
\elib{https://elibrary.ru/item.asp?id=10438485}
\transl
\jour Theoret. and Math. Phys.
\yr 2008
\vol 154
\issue 3
\pages 385--404
\crossref{https://doi.org/10.1007/s11232-008-0034-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000254207700004}
\elib{https://elibrary.ru/item.asp?id=13592438}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-41049086510}
Linking options:
  • https://www.mathnet.ru/eng/tmf6181
  • https://doi.org/10.4213/tmf6181
  • https://www.mathnet.ru/eng/tmf/v154/i3/p451
    • This publication is cited in the following 5 articles:
    1. M. S. Nirova, “On conservation laws in affine Toda systems”, Vladikavk. matem. zhurn., 13:1 (2011), 59–70  mathnet  elib
    2. Nirov Kh.S., Razumov A.V., “More non-Abelian loop Toda solitons”, J. Phys. A, 42:28 (2009), 285201, 11 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. Nirov Kh.S., Razumov A.V., “Solving non-Abelian loop Toda equations”, Nuclear Phys. B, 815:3 (2009), 404–429  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. Nirov Kh.S., Razumov A.V., “The rational dressing for abelian twisted loop Toda systems”, J. High Energy Phys., 2008, no. 12, 048, 29 pp.  crossref  mathscinet  zmath  isi  elib  scopus
    5. Nirov Kh.S., Razumov A.V., “Abelian Toda solitons revisited”, Rev. Math. Phys., 20:10 (2008), 1209–1248  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:454
    Full-text PDF :224
    References:77
    First page:3
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025