I. Z. Golubchik, V. V. Sokolov, “One More Kind of the Classical Yang–Baxter Equation”, Funktsional. Anal. i Prilozhen., 34:4 (2000), 75–78; Funct. Anal. Appl., 34:4 (2000), 296

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Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 4, Pages 75–78
DOI: https://doi.org/10.4213/faa328 (Mi faa328)

This article is cited in 20 scientific papers (total in 20 papers)

Brief communications

One More Kind of the Classical Yang–Baxter Equation

I. Z. Golubchik^a, V. V. Sokolov^b

^a Bashkir State Pedagogical University
^b Landau Institute for Theoretical Physics, Centre for Non-linear Studies

Full-text PDF (104 kB) Citations (20)

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DOI: https://doi.org/10.4213/faa328

Received: 07.06.1999

English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 4, Pages 296–298
DOI: https://doi.org/10.1023/A:1004113508705

Bibliographic databases:

Document Type: Article

UDC: 517.9

Language: Russian

Citation: I. Z. Golubchik, V. V. Sokolov, “One More Kind of the Classical Yang–Baxter Equation”, Funktsional. Anal. i Prilozhen., 34:4 (2000), 75–78; Funct. Anal. Appl., 34:4 (2000), 296–298

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa328

https://doi.org/10.4213/faa328

https://www.mathnet.ru/eng/faa/v34/i4/p75

This publication is cited in the following 20 articles:

Yunfei Fang, Ximu Wang, Liangyun Zhang, “The deformation and construction of Nijenhuis paired modules”, IEJA, 2024, 1
Stepan Maximov, “Regular decompositions of finite root systems and simple Lie algebras”, Journal of Algebra, 2024
Sun Q., Wu Zh., “Cohomologies of N-Lie Algebras With Derivations”, Mathematics, 9:19 (2021), 2452
Konrad Lompert, Andriy Panasyuk, “Invariant Nijenhuis Tensors and Integrable Geodesic Flows”, SIGMA, 15 (2019), 056, 30 pp.
Gao X., Lei P., Zhang T., “Left Counital Hopf Algebras on Free Nijenhuis Algebras”, Commun. Algebr., 46:11 (2018), 4868–4883
Panasyuk A., “Compatible Lie Brackets: Towards a Classification”, J. Lie Theory, 24:2 (2014), 561–623
R. A. Atnagulova, I. Z. Golubchik, “Novye resheniya uravneniya Yanga–Bakstera s kvadratom”, Ufimsk. matem. zhurn., 4:3 (2012), 6–16
Lei P., Guo L., “Nijenhuis Algebras, Ns Algebras, and N-Dendriform Algebras”, Front. Math. China, 7:5 (2012), 827–846
Ebrahimi-Fard, K, “GENERALIZED SHUFFLES RELATED TO NIJENHUIS AND TD-ALGEBRAS”, Communications in Algebra, 37:9 (2009), 3064
Skrypnyk, T, “Special quasigraded Lie algebras and integrable Hamiltonian systems”, Acta Applicandae Mathematicae, 99:3 (2007), 261
Skrypnyk, T, “Integrable deformations of the mKdV and SG hierarchies and quasigraded Lie algebras”, Physica D-Nonlinear Phenomena, 216:2 (2006), 247
T. V. Skrypnik, “Quasigraded lie algebras, Kostant–Adler scheme, and integrable hierarchies”, Theoret. and Math. Phys., 142:2 (2005), 275–288
Ebrahimi-Fard, K, “Integrable renormalization II: The general case”, Annales Henri Poincare, 6:2 (2005), 369
T. V. Skrypnyk, “Quasigraded lie algebras, kostant—adler scheme, and integrable hierarchies”, Theor Math Phys, 142:2 (2005), 275
O. V. Efimovskaya, V. V. Sokolov, “Decompositions of the loop algebra over $\mathrm{so}(4)$ and integrable models of the chiral equation type”, J. Math. Sci., 136:6 (2006), 4385–4391
Skrypnyk, T, “Deformations of loop algebras and classical integrable systems: Finite-dimensional Hamiltonian systems”, Reviews in Mathematical Physics, 16:7 (2004), 823
Ebrahimi-Fard, K, “Integrable renormalization I: The ladder case”, Journal of Mathematical Physics, 45:10 (2004), 3758
Lombardo, S, “Reductions of integrable equations: dihedral group”, Journal of Physics A-Mathematical and General, 37:31 (2004), 7727
Ebrahimi-Fard, K, “On the associative Nijenhuis relation”, Electronic Journal of Combinatorics, 11:1 (2004), R38
I. Z. Golubchik, V. V. Sokolov, “Compatible Lie Brackets and Integrable Equations of the Principal Chiral Model Type”, Funct. Anal. Appl., 36:3 (2002), 172–181

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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