I. M. Gel'fand, I. Ya. Dorfman, “Hamiltonian operators and infinite-dimensional Lie algebras”, Funktsional. Anal. i Prilozhen., 15:3 (1981), 23–40; Funct. Anal. Appl., 15:3 (1981), 173

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Funktsional'nyi Analiz i ego Prilozheniya, 1981, Volume 15, Issue 3, Pages 23–40 (Mi faa1729)

This article is cited in 65 scientific papers (total in 67 papers)

Hamiltonian operators and infinite-dimensional Lie algebras

I. M. Gel'fand, I. Ya. Dorfman

Full-text PDF (1906 kB) Citations (67)

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Received: 25.03.1981

English version:
Functional Analysis and Its Applications, 1981, Volume 15, Issue 3, Pages 173–187
DOI: https://doi.org/10.1007/BF01089922

Bibliographic databases:

Document Type: Article

UDC: 519.46

Language: Russian

Citation: I. M. Gel'fand, I. Ya. Dorfman, “Hamiltonian operators and infinite-dimensional Lie algebras”, Funktsional. Anal. i Prilozhen., 15:3 (1981), 23–40; Funct. Anal. Appl., 15:3 (1981), 173–187

Citation in format AMSBIB

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\jour Funct. Anal. Appl.

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Linking options:

https://www.mathnet.ru/eng/faa1729

https://www.mathnet.ru/eng/faa/v15/i3/p23

This publication is cited in the following 67 articles:

Bei Li, Dingguo Wang, “Novikov Poisson bialgebra”, Journal of Geometry and Physics, 209 (2025), 105403
Botong Gai, Shuanhong Wang, “On Heisenberg-Virasoro pseudoalgebras”, Journal of Mathematical Physics, 66:2 (2025)
Sami Mabrouk, Othmen Ncib, Sihem Sendi, “Yang-Baxter equations and O-operators of a Hom-Jordan superalgebra with representation”, Journal of Geometry and Physics, 2024, 105215
Yue Li, Yanyong Hong, “Quasi-Frobenius Novikov algebras and pre-Novikov bialgebras”, Communications in Algebra, 2024, 1
Linlin Liu, Senlin Zhang, Huihui Zheng, “On infinitesimal Hom-H-pseudobialgebras”, Filomat, 38:1 (2024), 271
G. Gubbiotti, B. van Geemen, P. Vergallo, “Line geometry of pairs of second-order Hamiltonian operators and quasilinear systems”, Proc. R. Soc. A., 480:2303 (2024)
Yanyong Hong, Chengming Bai, Li Guo, “Infinite-Dimensional Lie Bialgebras via Affinization of Novikov Bialgebras and Koszul Duality”, Commun. Math. Phys., 401:2 (2023), 2011
Naping Bao, Yanyong Hong, “Algebraic Constructions for Novikov–Poisson Algebras”, Mathematics, 10:17 (2022), 3158
Linlin Liu, Shuanhong Wang, “The construction of Hom-Leibniz H-pseudoalgebras”, Filomat, 36:8 (2022), 2617
Junna Ni, Zhiqi Chen, “Novikov Super-Algebras with Associative Non-Degenerate Super-Symmetric Bilinear Forms”, JNMP, 17:2 (2021), 159
Qinxiu Sun, “Onn-ary Hom–LieH-pseudoalgebras”, J. Phys. A: Math. Theor., 45:19 (2012), 195208
Qinxiu Sun, “Generalization of H-pseudoalgebraic structures”, Journal of Mathematical Physics, 53:1 (2012)
Wang Ya. Hou D. Bai Ch., “Operator Forms of the Classical Yang–Baxter Equation in Lie Superalgebras”, Int. J. Geom. Methods Mod. Phys., 7:4 (2010), 583–597
Fuhai Zhu, Zhiqi Chen, “Novikov superalgebras with A 0 = A 1 A 1”, Czech Math J, 60:4 (2010), 903
YOUJUN TAN, “TOROIDAL LIE ALGEBRAS AND SOME DIFFERENTIAL EQUATIONS OF TODA TYPE”, J. Algebra Appl., 09:06 (2010), 1015
Qinxiu Sun, Zhixiang Wu, “Theory structure ofn-LieH-pseudoalgebras”, J. Phys. A: Math. Theor., 43:27 (2010), 275201
O. I. Mokhov, “The Classification of Nonsingular Multidimensional Dubrovin–Novikov Brackets”, Funct. Anal. Appl., 42:1 (2008), 33–44
P. Ya. Grozman, D. A. Leites, “Nonholonomic Riemann and Weyl tensors for flag manifolds”, Theoret. and Math. Phys., 153:2 (2007), 1511–1538
Luo Lin, Fan En-Gui, “Hamiltonian Systems and Darboux Transformation Associated with a 3×3 Matrix Spectral Problem”, Commun. Theor. Phys., 48:2 (2007), 205
Engui Fan, Lecture Notes in Computer Science, 3519, Computer Algebra and Geometric Algebra with Applications, 2005, 163

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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