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Funktsional'nyi Analiz i ego Prilozheniya, 1980, Volume 14, Issue 4, Pages 18–26 (Mi faa1849)  

This article is cited in 34 scientific papers (total in 34 papers)

Discrete groups and the integrability of quantum systems

A. A. Belavin
References:
Received: 12.06.1980
English version:
Functional Analysis and Its Applications, 1980, Volume 14, Issue 4, Pages 260–267
DOI: https://doi.org/10.1007/BF01078301
Bibliographic databases:
Document Type: Article
UDC: 517.43+519.46
Language: Russian
Citation: A. A. Belavin, “Discrete groups and the integrability of quantum systems”, Funktsional. Anal. i Prilozhen., 14:4 (1980), 18–26; Funct. Anal. Appl., 14:4 (1980), 260–267
Citation in format AMSBIB
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\by A.~A.~Belavin
\paper Discrete groups and the integrability of quantum systems
\jour Funktsional. Anal. i Prilozhen.
\yr 1980
\vol 14
\issue 4
\pages 18--26
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=595725}
\zmath{https://zbmath.org/?q=an:0454.22012}
\transl
\jour Funct. Anal. Appl.
\yr 1980
\vol 14
\issue 4
\pages 260--267
\crossref{https://doi.org/10.1007/BF01078301}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LX98800003}
Linking options:
  • https://www.mathnet.ru/eng/faa1849
  • https://www.mathnet.ru/eng/faa/v14/i4/p18
  • This publication is cited in the following 34 articles:
    1. Sylvain Lacroix, Anders Wallberg, “An elliptic integrable deformation of the Principal Chiral Model”, J. High Energ. Phys., 2024:5 (2024)  crossref
    2. Sylvain Lacroix, Anders Wallberg, “Geometry of the spectral parameter and renormalisation of integrable sigma-models”, J. High Energ. Phys., 2024:5 (2024)  crossref
    3. T. Skrypnyk, “On the general solution of the permuted classical Yang–Baxter equation and quasigraded Lie algebras”, Journal of Mathematical Physics, 63:3 (2022)  crossref
    4. I. Kostyakov, V. Kuratov, “On one contraction of a discrete group D3”, Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences, 2022, no. 5, 42  crossref
    5. N. A. Slavnov, “Introduction to the nested algebraic Bethe ansatz”, SciPost Phys. Lect. Notes, 19 (2020), 1–53  mathnet  crossref
    6. Skrypnyk T., “Decompositions of Quasigraded Lie Algebras, Non-Skew-Symmetric Classical R-Matrices and Generalized Gaudin Models”, J. Geom. Phys., 75 (2014), 98–112  crossref  isi
    7. T. Skrypnyk, “Quasigraded bases in loop algebras and classical rational r-matrices”, Journal of Mathematical Physics, 53:8 (2012)  crossref
    8. Sergei L. Lukyanov, “The integrable harmonic map problem versus Ricci flow”, Nuclear Physics B, 865:2 (2012), 308  crossref
    9. Giovanni Ortenzi, Vladimir Rubtsov, Serge Roméo Tagne Pelap, “On the Heisenberg Invariance and the Elliptic Poisson Tensors”, Lett Math Phys, 96:1-3 (2011), 263  crossref
    10. Sara Lombardo, Jan A. Sanders, “On the Classification of Automorphic Lie Algebras”, Commun. Math. Phys., 299:3 (2010), 793  crossref
    11. Roubtsov V., Skrypnyk T., “Compatible Poisson Brackets, Quadratic Poisson Algebras and Classical r-Matrices”, Differential Equations: Geometry, Symmetries and Integrability - the Abel Symposium 2008, Abel Symposia, 5, 2009, 311–333  isi
    12. A. V. Zotov, A. M. Levin, M. A. Olshanetsky, Yu. B. Chernyakov, “Quadratic algebras related to elliptic curves”, Theoret. and Math. Phys., 156:2 (2008), 1103–1122  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    13. I. Z. Golubchik, V. V. Sokolov, “Compatible Lie Brackets and the Yang–Baxter Equation”, Theoret. and Math. Phys., 146:2 (2006), 159–169  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    14. A. V. Odesskii, “Set-theoretical solutions to the Yang–Baxter relation from factorization of matrix polynomials and θ-functions”, Mosc. Math. J., 3:1 (2003), 97–103  mathnet  crossref  mathscinet  zmath
    15. A. V. Odesskii, “Belavin Elliptic R-Matrices and Exchange Algebras”, Funct. Anal. Appl., 36:1 (2002), 49–61  mathnet  crossref  crossref  mathscinet  zmath  isi
    16. A. V. Odesskii, “Elliptic algebras”, Russian Math. Surveys, 57:6 (2002), 1127–1162  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    17. RAFAEL I NEPOMECHIE, “NEW AND OLD SYMMETRIES OF INTEGRABLE SPIN CHAINS”, Int. J. Mod. Phys. B, 13:32 (1999), 3943  crossref
    18. Anastasia Doikou, Rafael I. Nepomechie, “Soliton S matrices for the critical A chain”, Physics Letters B, 462:1-2 (1999), 121  crossref
    19. Anastasia Doikou, Rafael I. Nepomechie, “Duality and quantum-algebra symmetry of the A-1(1) open spin chain with diagonal boundary fields”, Nuclear Physics B, 530:3 (1998), 641  crossref
    20. A. V. Tsiganov, “Superintegrable systems and classical r-matrix method”, Theoret. and Math. Phys., 112:3 (1997), 1140–1156  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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