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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)
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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
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  • 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:
    1. D. Karakhanyan, R. Kirschner, “Representations of orthogonal and symplectic Yangians”, Nuclear Physics B, 967 (2021), 115402  crossref
    2. R. Frassek, “Oscillator realisations associated to the d-type yangian: towards the operatorial q-system of orthogonal spin chains”, Nucl. Phys. B, 956 (2020), 115063  crossref  mathscinet  isi  scopus
    3. D. R. Karakhanyan, R. Kirshner, “Orthogonal and symplectic Yangians and Lie algebra representations”, Theoret. and Math. Phys., 198:2 (2019), 239–248  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. D. Karakhanyan, R. Kirschner, “Orthogonal and symplectic yangians - representations of the quadratic evaluation”, 32Nd International Colloquium on Group Theoretical Methods in Physics (Group32), Journal of Physics Conference Series, 1194, IOP Publishing Ltd, 2019, 012058  crossref  mathscinet  isi
    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
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