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, 2017, Volume 192, Number 2, Pages 250–258
DOI: https://doi.org/10.4213/tmf9296 (Mi tmf9296) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Second-order evaluations of orthogonal and symplectic Yangians

D. R. Karakhanyana, R. Kirshnerb

a Yerevan Physics Institute, Yerevan, Armenia
b Institut für Theoretische Physik, Universität Leipzig, Leipzig, Germany
Full-text PDF (393 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9296
Abstract: Orthogonal or symplectic Yangians are defined by the Yang–Baxter $RLL$ relation involving the fundamental $R$-matrix with the corresponding $so(n)$ or $sp(2m)$ symmetry. We investigate the second-order solution conditions, where the expansion of $L(u)$ in $u^{-1}$ is truncated at the second power, and we derive the relations for the two nontrivial terms in $L(u)$.
Keywords: integrable systems, Yang–Baxter relation, orthogonal Lie algebra, symplectic Lie algebra, truncated Yangian.
Funding agency Grant number
Joint Institute for Nuclear Research
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia SCS 15RF-039
This research was supported by the Joint Institute for Nuclear Research, Dubna (a Heisenberg–Landau grant to R. Kirschner and a Smorodinsky–Ter-Antonyan grant to D. R. Karakhanyan).
The research of D. R. Karakhanyan was supported in part by the Armenian State Committee of Science (Grant No. SCS 15RF-039).
Received: 21.10.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 2, Pages 1154–1161
DOI: https://doi.org/10.1134/S0040577917080062
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. R. Karakhanyan, R. Kirshner, “Second-order evaluations of orthogonal and symplectic Yangians”, TMF, 192:2 (2017), 250–258; Theoret. and Math. Phys., 192:2 (2017), 1154–1161
Citation in format AMSBIB
\Bibitem{KarKir17}
\by D.~R.~Karakhanyan, R.~Kirshner
\paper Second-order evaluations of orthogonal and symplectic Yangians
\jour TMF
\yr 2017
\vol 192
\issue 2
\pages 250--258
\mathnet{http://mi.mathnet.ru/tmf9296}
\crossref{https://doi.org/10.4213/tmf9296}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3682814}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017TMP...192.1154K}
\elib{https://elibrary.ru/item.asp?id=29833739}
\transl
\jour Theoret. and Math. Phys.
\yr 2017
\vol 192
\issue 2
\pages 1154--1161
\crossref{https://doi.org/10.1134/S0040577917080062}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000409295000006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028991014}
Linking options:
  • https://www.mathnet.ru/eng/tmf9296
  • https://doi.org/10.4213/tmf9296
  • https://www.mathnet.ru/eng/tmf/v192/i2/p250
    • This publication is cited in the following 4 articles:
    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:298
    Full-text PDF :87
    References:46
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024