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Odesskii, Alexander

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Author ID: odesskii.alexander Recent zbMATH articles by "Odesskii, Alexander"
Published as: Odesskii, A.; Odesskii, A. V.; Odesskii, Alexander; Odesskii, Alexandr; Odesskij, A. V.; Odesskij, Alexander; Odesskiĭ, A. V.
Documents Indexed: 47 Publications since 1986, including 2 Books
Reviewing Activity: 12 Reviews

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 279 times in 190 Documents Cited by Year
Sklyanin elliptic algebras. Zbl 0713.17009
Odesskiĭ, A. V.; Feigin, B. L.
35
1989
Vector bundles on an elliptic curve and Sklyanin algebras. Zbl 0916.16014
Feigin, B. L.; Odesskij, A. V.
19
1998
Elliptic Sklyanin algebras. Zbl 0687.17001
Odesskiĭ, A. V.; Feigin, B. L.
17
1989
Integrable matrix equations related to pairs of compatible associative algebras. Zbl 1146.17313
Odesskii, A. V.; Sokolov, V. V.
14
2006
Double Poisson brackets on free associative algebras. Zbl 1321.17014
Odesskii, Alexander; Rubtsov, Vladimir; Sokolov, Vladimir
13
2013
Integrable pseudopotentials related to generalized hypergeometric functions. Zbl 1274.37040
Odesskii, A. V.; Sokolov, V. V.
11
2010
Elliptic algebras. Zbl 1062.16035
Odesskij, A. V.
11
2002
Polynomial Poisson algebras with regular structure of symplectic leaves. Zbl 1138.53314
Odesskii, A. V.; Rubtsov, V. N.
10
2002
Algebra of screening operators for the deformed \(W_n\) algebra. Zbl 0952.17010
Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Odesskii, Alexandr; Pugai, Yaroslav
10
1998
Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations. Zbl 1175.17008
Odesskii, Alexander; Sokolov, Vladimir
9
2008
Double-elliptic dynamical systems from generalized Mukai-Sklyanin algebras. Zbl 0995.37044
Braden, H. W.; Gorsky, A.; Odesskii, A.; Rubtsov, V.
9
2002
Integrable \((2+1)\)-dimensional systems of hydrodynamic type. Zbl 1303.37024
Odesskii, A. V.; Sokolov, V. V.
8
2010
A family of \((2+1)\)-dimensional hydrodynamic type systems possessing a pseudopotential. Zbl 1237.37048
Odesskii, Alexander
8
2007
An analog of the Sklyanin algebra. Zbl 0606.17013
Odesskij, A. V.
8
1986
Non-homogeneous systems of hydrodynamic type possessing Lax representations. Zbl 1282.37036
Odesskii, A. V.; Sokolov, V. V.
7
2013
Quantized moduli spaces of the bundles on the elliptic curve and their applications. Zbl 1076.14520
Feĭgin, B. L.; Odesskiĭ, A. V.
7
2001
Bi-Hamiltonian ordinary differential equations with matrix variables. Zbl 1274.70023
Odesskii, A. V.; Rubtsov, V. N.; Sokolov, V. V.
6
2012
Classification of integrable two-component Hamiltonian systems of hydrodynamic type in \(2 + 1\) dimensions. Zbl 1317.37071
Ferapontov, E. V.; Odesskii, A. V.; Stoilov, N. M.
6
2011
Integrable Lagrangians and modular forms. Zbl 1188.35161
Ferapontov, E. V.; Odesskii, A. V.
6
2010
Algebraic structures connected with pairs of compatible associative algebras. Zbl 1151.16030
Odesskii, Alexander; Sokolov, Vladimir
6
2006
Set-theoretical solutions to the Yang-Baxter relation from factorization of matrix polynomials and \(\theta\)-functions. Zbl 1052.81050
Odesskii, Alexander
6
2003
A family of elliptic algebras. Zbl 0923.16027
Feigin, Boris; Odesskij, Alexander
6
1997
On \((2+1)\)-dimensional hydrodynamic type systems possessing a pseudopotential with movable singularities. Zbl 1175.35028
Odesskii, A. V.; Sokolov, V. V.
5
2008
Classification of integrable Vlasov-type equations. Zbl 1146.76061
Odesskij, A. V.; Pavlov, M. V.; Sokolov, V. V.
5
2008
Compatible Lie brackets related to elliptic curve. Zbl 1111.17008
Odesskii, A. V.; Sokolov, V. V.
5
2006
Parameter-dependent associative Yang-Baxter equations and Poisson brackets. Zbl 1314.16024
Odesskii, Alexander; Rubtsov, Vladimir; Sokolov, Vladimir
4
2014
Integrable elliptic pseudopotentials. Zbl 1180.37096
Odesskii, A. V.; Sokolov, V. V.
4
2009
Integrable systems associated with elliptic algebras. Zbl 1202.81099
Odesskii, Alexander; Rubtsov, Vladimir
4
2008
Constructions of Sklyanin elliptic algebras and quantum \(R\)-matrices. Zbl 0798.16030
Odesskiĭ, A. V.; Feĭgin, B. L.
4
1993
Classification of integrable hydrodynamic chains. Zbl 1220.37056
Odesskii, A. V.; Sokolov, V. V.
3
2010
Bihamiltonian elliptic structures. Zbl 1065.14043
Odesskii, Alexander
3
2004
New relations in the algebra of the Baxter Q-operators. Zbl 1044.81130
Belavin, A. A.; Odesskii, A. V.; Usmanov, R. A.
3
2002
Quantization of canonical cones of algebraic curves. Zbl 1052.14035
Enriquez, Benjamin; Odesskii, Alexander
2
2002
Elliptic deformations of current algebras and their representations by difference operators. Zbl 0919.17009
Odesskij, A. V.; Feigin, B. L.
2
1997
Five-wave classical scattering matrix and integrable equations. Zbl 1308.76043
Zakharov, V. E.; Odesskii, A. V.; Cisternino, M.; Onorato, M.
1
2014
Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Zbl 1296.00056
Kielanowski, Piotr (ed.); Bieliavsky, Pierre (ed.); Odesskii, Alexander (ed.); Odzijewicz, Anatol (ed.); Schlichenmaier, Martin (ed.); Voronov, Theodore (ed.)
1
2014
Functional realization of some elliptic Hamiltonian structures and bosonization of the corresponding quantum algebras. Zbl 0993.81025
Feigin, B. L.; Odesskij, A. V.
1
2001
Parameter-dependent associative Yang-Baxter equations and Poisson brackets. Zbl 1314.16024
Odesskii, Alexander; Rubtsov, Vladimir; Sokolov, Vladimir
4
2014
Five-wave classical scattering matrix and integrable equations. Zbl 1308.76043
Zakharov, V. E.; Odesskii, A. V.; Cisternino, M.; Onorato, M.
1
2014
Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Zbl 1296.00056
Kielanowski, Piotr (ed.); Bieliavsky, Pierre (ed.); Odesskii, Alexander (ed.); Odzijewicz, Anatol (ed.); Schlichenmaier, Martin (ed.); Voronov, Theodore (ed.)
1
2014
Double Poisson brackets on free associative algebras. Zbl 1321.17014
Odesskii, Alexander; Rubtsov, Vladimir; Sokolov, Vladimir
13
2013
Non-homogeneous systems of hydrodynamic type possessing Lax representations. Zbl 1282.37036
Odesskii, A. V.; Sokolov, V. V.
7
2013
Bi-Hamiltonian ordinary differential equations with matrix variables. Zbl 1274.70023
Odesskii, A. V.; Rubtsov, V. N.; Sokolov, V. V.
6
2012
Classification of integrable two-component Hamiltonian systems of hydrodynamic type in \(2 + 1\) dimensions. Zbl 1317.37071
Ferapontov, E. V.; Odesskii, A. V.; Stoilov, N. M.
6
2011
Integrable pseudopotentials related to generalized hypergeometric functions. Zbl 1274.37040
Odesskii, A. V.; Sokolov, V. V.
11
2010
Integrable \((2+1)\)-dimensional systems of hydrodynamic type. Zbl 1303.37024
Odesskii, A. V.; Sokolov, V. V.
8
2010
Integrable Lagrangians and modular forms. Zbl 1188.35161
Ferapontov, E. V.; Odesskii, A. V.
6
2010
Classification of integrable hydrodynamic chains. Zbl 1220.37056
Odesskii, A. V.; Sokolov, V. V.
3
2010
Integrable elliptic pseudopotentials. Zbl 1180.37096
Odesskii, A. V.; Sokolov, V. V.
4
2009
Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations. Zbl 1175.17008
Odesskii, Alexander; Sokolov, Vladimir
9
2008
On \((2+1)\)-dimensional hydrodynamic type systems possessing a pseudopotential with movable singularities. Zbl 1175.35028
Odesskii, A. V.; Sokolov, V. V.
5
2008
Classification of integrable Vlasov-type equations. Zbl 1146.76061
Odesskij, A. V.; Pavlov, M. V.; Sokolov, V. V.
5
2008
Integrable systems associated with elliptic algebras. Zbl 1202.81099
Odesskii, Alexander; Rubtsov, Vladimir
4
2008
A family of \((2+1)\)-dimensional hydrodynamic type systems possessing a pseudopotential. Zbl 1237.37048
Odesskii, Alexander
8
2007
Integrable matrix equations related to pairs of compatible associative algebras. Zbl 1146.17313
Odesskii, A. V.; Sokolov, V. V.
14
2006
Algebraic structures connected with pairs of compatible associative algebras. Zbl 1151.16030
Odesskii, Alexander; Sokolov, Vladimir
6
2006
Compatible Lie brackets related to elliptic curve. Zbl 1111.17008
Odesskii, A. V.; Sokolov, V. V.
5
2006
Bihamiltonian elliptic structures. Zbl 1065.14043
Odesskii, Alexander
3
2004
Set-theoretical solutions to the Yang-Baxter relation from factorization of matrix polynomials and \(\theta\)-functions. Zbl 1052.81050
Odesskii, Alexander
6
2003
Elliptic algebras. Zbl 1062.16035
Odesskij, A. V.
11
2002
Polynomial Poisson algebras with regular structure of symplectic leaves. Zbl 1138.53314
Odesskii, A. V.; Rubtsov, V. N.
10
2002
Double-elliptic dynamical systems from generalized Mukai-Sklyanin algebras. Zbl 0995.37044
Braden, H. W.; Gorsky, A.; Odesskii, A.; Rubtsov, V.
9
2002
New relations in the algebra of the Baxter Q-operators. Zbl 1044.81130
Belavin, A. A.; Odesskii, A. V.; Usmanov, R. A.
3
2002
Quantization of canonical cones of algebraic curves. Zbl 1052.14035
Enriquez, Benjamin; Odesskii, Alexander
2
2002
Quantized moduli spaces of the bundles on the elliptic curve and their applications. Zbl 1076.14520
Feĭgin, B. L.; Odesskiĭ, A. V.
7
2001
Functional realization of some elliptic Hamiltonian structures and bosonization of the corresponding quantum algebras. Zbl 0993.81025
Feigin, B. L.; Odesskij, A. V.
1
2001
Vector bundles on an elliptic curve and Sklyanin algebras. Zbl 0916.16014
Feigin, B. L.; Odesskij, A. V.
19
1998
Algebra of screening operators for the deformed \(W_n\) algebra. Zbl 0952.17010
Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Odesskii, Alexandr; Pugai, Yaroslav
10
1998
A family of elliptic algebras. Zbl 0923.16027
Feigin, Boris; Odesskij, Alexander
6
1997
Elliptic deformations of current algebras and their representations by difference operators. Zbl 0919.17009
Odesskij, A. V.; Feigin, B. L.
2
1997
Constructions of Sklyanin elliptic algebras and quantum \(R\)-matrices. Zbl 0798.16030
Odesskiĭ, A. V.; Feĭgin, B. L.
4
1993
Sklyanin elliptic algebras. Zbl 0713.17009
Odesskiĭ, A. V.; Feigin, B. L.
35
1989
Elliptic Sklyanin algebras. Zbl 0687.17001
Odesskiĭ, A. V.; Feigin, B. L.
17
1989
An analog of the Sklyanin algebra. Zbl 0606.17013
Odesskij, A. V.
8
1986
all top 5

Cited by 231 Authors

15 Odesskii, Alexander
11 Sokolov, Vladimir Vyacheslavovich
10 Ferapontov, Evgeny Vladimirovich
10 Rubtsov, Vladimir Nikolaevich
9 Feĭgin, Boris L’vovich
9 Smith, S. Paul
6 Zotov, Andrei V.
5 Chirvăsitu, Alexandru
5 Van den Bergh, Michel
4 Enriquez, Benjamin
4 Kojima, Takeo
4 Levin, Andrey M.
4 Mironov, Andrei D.
4 Morozov, Oleg I.
4 Olshanetsky, Mikhail A.
4 Shiraishi, Jun’ichi
4 Stafford, J. Toby
3 Avan, Jean
3 Bai, Chengming
3 De Laet, Kevin
3 Iyudu, Natalia K.
3 Jimbo, Michio
3 Koroteev, Peter
3 Krasil’shchik, Iosif Semënovich
3 Morozov, Alexei Yurievich
3 Negut, Andrei
3 Ortenzi, Giovanni
3 Pavlov, Maxim V.
3 Polishchuk, Alexander Evgen’evich
3 Schiffmann, Olivier G.
3 Zabrodin, Anton V.
3 Zhang, Yong
2 Aminov, G. A.
2 Arthamonov, Semeon
2 Baran, Hynek
2 Bazhanov, Vladimir V.
2 Braden, Harry W.
2 Burban, Igor
2 Casati, Matteo
2 Derkachëv, Sergeĭ Èduardovich
2 Dobrogowska, Alina
2 Frappat, Luc
2 Gavrilik, Alexandre M.
2 Gorskiĭ, Aleksandr Sergeevich
2 Guo, Li
2 Khabibullin, Ismagil Talgatovich
2 Hua, Zheng
2 Huang, Hau-wen
2 Kanda, Ryo
2 Klimyk, Anatoliy Ul’yanovich
2 Konopelchenko, Boris Georgievich
2 Konyaev, Andreĭ Yu.
2 Miwa, Tetsuji
2 Mukhin, Evgeny
2 Nikolaev, Igor Vasilievich
2 Odesskii, Alexandre
2 Panyushev, Dmitri Ivanovich
2 Pelap, S. R. Tagne
2 Poptsova, Mariya Nikolaevna
2 Pym, Brent
2 Ragoucy, Eric
2 Rossi, Marco
2 Sergyeyev, Artur
2 Sorba, Paul
2 Stoilov, Nikola M.
2 Tagne Pelap, Serge Roméo
2 Tsymbaliuk, Oleksandr
2 Vasserot, Eric
2 Yakimova, Oksana S.
2 Zhang, James J.
1 Ajitabh, Kaushal
1 Akhmedova, Valeria
1 Artin, Michael
1 Bartocci, Claudio
1 Bauwens, Kristien
1 Berger, Roland
1 Bershteĭn, Mikhaĭl Aleksandrovich
1 Bihlo, Alexander
1 Blaschke, Petr
1 Bloch, Anthony M.
1 Bocklandt, Raf
1 Bokut, Leonid A.
1 Bolsinov, Alexey V.
1 Bremner, Murray R.
1 Brînzănescu, Vasile
1 Bullimore, Mathew Richard
1 Bulycheva, Kseniya
1 Burovskiy, P. A.
1 Calderbank, David M. J.
1 Chechetkin, Valeriĭ Mikhaĭlovich
1 Chekhov, Leonid O.
1 Chemla, Sophie
1 Chen, Heng-Yu
1 Chen, Yuqun
1 Chernyakov, Yury B.
1 Cléry, Fabien
1 Connes, Alain
1 Damianou, Pantelis Andrea
1 Davies, Andrew
1 De Naeghel, Koen
...and 131 more Authors
all top 5

Cited in 66 Serials

18 Communications in Mathematical Physics
17 Journal of Algebra
12 Letters in Mathematical Physics
12 Advances in Mathematics
11 Journal of Mathematical Physics
11 Journal of Geometry and Physics
10 Theoretical and Mathematical Physics
7 Nuclear Physics. B
5 Communications in Algebra
5 Journal of High Energy Physics
4 Selecta Mathematica. New Series
3 Journal of Pure and Applied Algebra
3 Regular and Chaotic Dynamics
3 Journal of Nonlinear Mathematical Physics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Physics Letters. A
2 Compositio Mathematica
2 Duke Mathematical Journal
2 Functional Analysis and its Applications
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Physica D
2 \(K\)-Theory
2 International Journal of Mathematics
2 Journal of Mathematical Sciences (New York)
2 St. Petersburg Mathematical Journal
2 Journal of Physics A: Mathematical and Theoretical
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Kyoto Journal of Mathematics
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Physics Letters. B
1 Reviews in Mathematical Physics
1 Annales de l’Institut Fourier
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Topology and its Applications
1 Acta Applicandae Mathematicae
1 Differential Geometry and its Applications
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Algebraic Combinatorics
1 Applied Categorical Structures
1 Theory and Applications of Categories
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Sbornik: Mathematics
1 Transformation Groups
1 Doklady Mathematics
1 The Ramanujan Journal
1 Journal of the European Mathematical Society (JEMS)
1 Lobachevskii Journal of Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Journal of Algebra and its Applications
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Noncommutative Geometry
1 Journal of Homotopy and Related Structures
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Sigma
1 Nelineĭnaya Dinamika
1 Journal of Combinatorial Algebra

Citations by Year