SIGMA. Symmetry, Integrability and Geometry: Methods and Applications Short Title: SIGMA, Symmetry Integrability Geom. Methods Appl. Publisher: National Academy of Sciences of Ukraine - NAS Ukraine (Natsional’na Akademiya Nauk Ukraïny - NAN Ukraïny), Institute of Mathematics (Instytut Matematyky), Kiev ISSN: 1815-0659/e Online: http://www.imath.kiev.ua/~sigma/ Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2005). This journal is available open access. Documents Indexed: 1,950 Publications (since 2005) References Indexed: 869 Publications with 29,021 References. all top 5 Latest Issues 19 (2023) 18 (2022) 17 (2021) 16 (2020) 15 (2019) 14 (2018) 13 (2017) 12 (2016) 11 (2015) 10 (2014) 9 (2013) 8 (2012) 7 (2011) 6 (2010) 5 (2009) 4 (2008) 3 (2007) 2 (2006) 1 (2005) all top 5 Authors 15 Miller, Willard jun. 13 Kalnins, Ernest G. 12 Dunkl, Charles F. 11 Zhedanov, Alexei S. 10 Vinet, Luc 9 Cohl, Howard Saul 9 Quesne, Christiane 8 Meljanac, Stjepan 8 Post, Sarah 8 Ragoucy, Eric 8 Rains, Eric M. 8 Rastelli, Giovanni 8 Tsyganov, Andreĭ Vladimirovich 8 Varchenko, Alexander Nikolaevich 7 Belliard, Samuel 7 Chanu, Claudia Maria 7 Grünbaum, Francisco Alberto 7 Pakuliak, Stanislav Z. 7 Ragnisco, Orlando 7 Saniga, Metod 7 Takemura, Kouichi 7 Terwilliger, Paul M. 7 Volkmer, Hans 6 Crampé, Nicolas 6 Eastwood, Michael G. 6 Fordy, Allan P. 6 Gerdzhikov, Vladimir Stefanov 6 Olver, Peter John 6 Ormerod, Christopher Michael 6 Patera, Jiří 6 Shiraishi, Jun’ichi 6 Yamada, Yasuhiko 6 Zhang, Dajun 5 Acosta Humánez, Primitivo Belén 5 Bruce, Andrew James 5 Brzeziński, Tomasz 5 Calogero, Francesco A. 5 Clelland, Jeanne Nielsen 5 Derkachëv, Sergeĭ Èduardovich 5 Dimakis, Aristophanes 5 Etingof, Pavel Il’ich 5 Klimek, Slawomir 5 Klimyk, Anatoliy Ul’yanovich 5 Korepanov, Igor Germanovich 5 Kuniba, Atsuo 5 Levi, Decio 5 Mcbride, Matt 5 Menegatto, Valdir Antonio 5 Müller-Hoissen, Folkert 5 Nakanishi, Tomoki 5 Noumi, Masatoshi 5 Schlosser, Michael J. 5 Scimiterna, Christian 5 Shapovalov, Aleksandr V. 5 Skrypnyk, Taras Volodymyrovych 5 Slavnov, Nikita A. 5 Takasaki, Kanehisa 5 Tarasov, Vitaly Olegovich 5 Top, Jaap 5 Trifonov, Andrey Yu. 5 Van der Jeugt, Joris 5 van der Put, Marius 4 Adamović, Dražen 4 Ayano, Takanori 4 Ballesteros, Angel 4 Bertola, Marco 4 Biswas, Indranil 4 Blaom, Anthony D. 4 Blaschke, Daniel N. 4 Bouarroudj, Sofiane 4 Cariñena, José F. 4 Coquereaux, Robert 4 D’Andrea, Francesco 4 De Bie, Hendrik 4 Filipuk, Galina V. 4 Genest, Vincent X. 4 Grabowski, Janusz 4 Grozman, Pavel 4 Herranz, Francisco José 4 Ismail, Mourad El-Houssieny 4 Koornwinder, Tom H. 4 Kress, Jonathan M. 4 Léandre, Rémi 4 Leites, Dimitry A. 4 Manashov, Alexander N. 4 Marquette, Ian 4 McLenaghan, Raymond G. 4 Mukhin, Evgeny 4 Nakazono, Nobutaka 4 Oeckl, Robert 4 Pachol, Anna 4 Planat, Michel 4 Pracna, Petr 4 Rañada, Manuel F. 4 Ruijsenaars, Simon N. M. 4 Sakovich, Sergei Yu. 4 Sasaki, Ryu 4 Schaposnik, Laura P. 4 Sheftel, Mikhail B. 4 Smilga, Andrei V. ...and 2,472 more Authors all top 5 Fields 532 Quantum theory (81-XX) 380 Differential geometry (53-XX) 333 Dynamical systems and ergodic theory (37-XX) 300 Special functions (33-XX) 286 Nonassociative rings and algebras (17-XX) 231 Partial differential equations (35-XX) 221 Algebraic geometry (14-XX) 208 Global analysis, analysis on manifolds (58-XX) 173 Ordinary differential equations (34-XX) 162 Mechanics of particles and systems (70-XX) 138 Associative rings and algebras (16-XX) 125 Statistical mechanics, structure of matter (82-XX) 114 Relativity and gravitational theory (83-XX) 110 Topological groups, Lie groups (22-XX) 101 Combinatorics (05-XX) 95 Functional analysis (46-XX) 93 Difference and functional equations (39-XX) 91 Group theory and generalizations (20-XX) 75 Manifolds and cell complexes (57-XX) 73 Harmonic analysis on Euclidean spaces (42-XX) 63 Several complex variables and analytic spaces (32-XX) 63 Probability theory and stochastic processes (60-XX) 62 Commutative algebra (13-XX) 60 Operator theory (47-XX) 54 Number theory (11-XX) 49 Linear and multilinear algebra; matrix theory (15-XX) 49 Functions of a complex variable (30-XX) 40 Category theory; homological algebra (18-XX) 25 Abstract harmonic analysis (43-XX) 24 Algebraic topology (55-XX) 20 Geometry (51-XX) 19 Field theory and polynomials (12-XX) 18 \(K\)-theory (19-XX) 18 Integral transforms, operational calculus (44-XX) 17 Convex and discrete geometry (52-XX) 17 Optics, electromagnetic theory (78-XX) 14 Potential theory (31-XX) 14 Approximations and expansions (41-XX) 12 Real functions (26-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Fluid mechanics (76-XX) 11 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 10 Computer science (68-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Integral equations (45-XX) 7 History and biography (01-XX) 7 Measure and integration (28-XX) 7 Statistics (62-XX) 5 Information and communication theory, circuits (94-XX) 4 Systems theory; control (93-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,487 Publications have been cited 7,925 times in 6,047 Documents Cited by ▼ Year ▼ A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary). Zbl 1145.53053Paneitz, Stephen M. 142 2008 Colored tensor models – a review. Zbl 1242.05094Gurau, Razvan; Ryan, James P. 126 2012 Differential invariants of conformal and projective surfaces. Zbl 1141.53010Hubert, Evelyne; Olver, Peter J. 56 2007 The universal Askey-Wilson algebra. Zbl 1244.33015Terwilliger, Paul 52 2011 Invitation to random tensors. Zbl 1346.83030Gurau, Razvan 49 2016 BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras. Zbl 1358.17006Graziani, Giacomo; Makhlouf, Abdenacer; Menini, Claudia; Panaite, Florin 48 2015 Gravity in twistor space and its Grassmannian formulation. Zbl 1296.81160Cachazo, Freddy; Mason, Lionel; Skinner, David 45 2014 Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz. Zbl 1288.82020Belliard, Samuel; Crampé, Nicolas 42 2013 Minkowski polynomials and mutations. 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N.; Verlinde, Erik P. 31 2008 Manifestly conformal descriptions and higher symmetries of bosonic singletons. Zbl 1241.70049Bekaert, Xavier; Grigoriev, Maxim 31 2010 Zhedanov’s algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra. Zbl 1157.33328Koornwinder, Tom H. 31 2008 The universal Askey-Wilson algebra and DAHA of type \((C_{1}^{\vee },C_{1})\). Zbl 1293.33022Terwilliger, Paul 30 2013 Kernel functions for difference operators of Ruijsenaars type and their applications. Zbl 1160.81393Komori, Yasushi; Noumi, Masatoshi; Shiraishi, Jun’ichi 30 2009 The universal Askey-Wilson algebra and the equitable presentation of \(U_{q}(sl_{2})\). Zbl 1244.33016Terwilliger, Paul 28 2011 Quantum cosmology from group field theory condensates: a review. Zbl 1347.83015Gielen, Steffen; Sindoni, Lorenzo 28 2016 An asymmetric noncommutative torus. 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Zbl 1388.33007Ho, Choon-Lin; Odake, Satoru; Sasaki, Ryu 20 2011 Irreducible generic Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\). Zbl 1347.17012Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 20 2015 Non-compact symplectic toric manifolds. Zbl 1328.53103Karshon, Yael; Lerman, Eugene 20 2015 Notes on Schubert, Grothendieck and key polynomials. Zbl 1334.05176Kirillov, Anatol N. 20 2016 Combinatorial formulae for nested Bethe vectors. Zbl 1288.82024Tarasov, Vitaly; Varchenko, Alexander 19 2013 Comments on the dynamics of the Pais-Uhlenbeck oscillator. Zbl 1208.81094Smilga, Andrei V. 19 2009 Completely integrable contact Hamiltonian systems and toric contact structures on \(S^{2}\times S^{3}\). Zbl 1242.53112Boyer, Charles P. 19 2011 CKP hierarchy, bosonic tau function and bosonization formulae. Zbl 1287.37055van de Leur, Johan W.; Orlov, Alexander Yu.; Shiota, Takahiro 19 2012 Moments match between the KPZ equation and the Airy point process. 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Zbl 1269.81044Quesne, Christiane 18 2012 Conformal structures associated to generic rank 2 distributions on 5-manifolds – characterization and Killing-field decomposition. Zbl 1191.53016Hammerl, Matthias; Sagerschnig, Katja 18 2009 Toda equations and piecewise polynomiality for mixed double Hurwitz numbers. Zbl 1336.05003Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 18 2016 On time correlations for KPZ growth in one dimension. Zbl 1344.60095Ferrari, Patrik L.; Spohn, Herbert 18 2016 The form factor program: a review and new results - the nested \(\text{SU}(N)\) off-shell Bethe ansatz. Zbl 1134.81391Babujian, Hratchya M.; Foerster, Angela; Karowski, Michael 17 2006 Lie algebroids in classical mechanics and optimal control. Zbl 1142.49023Martínez, Eduardo 17 2007 Double affine Hecke algebras of rank 1 and the \(\mathbb Z_3\)-symmetric Askey-Wilson relations. Zbl 1220.33018Ito, Tatsuro; Terwilliger, Paul 17 2010 On the relations between gravity and BF theories. Zbl 1242.83040Freidel, Laurent; Speziale, Simone 17 2012 KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. Zbl 1269.82018Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander 17 2012 Geometry of spectral curves and all order dispersive integrable system. Zbl 1270.14017Borot, Gaëtan; Eynard, Bertrand 17 2012 On quadrirational Yang-Baxter maps. Zbl 1190.14012Papageorgiou, V. G.; Suris, Yu. B.; Tongas, A. G.; Veselov, A. P. 17 2010 Geodesic equations on diffeomorphism groups. Zbl 1153.58006Vizman, Cornelia 17 2008 Simplex and polygon equations. Zbl 1338.06001Dimakis, Aristophanes; Müller-Hoissen, Folkert 17 2015 Surface defects in E-string compactifications and the van Diejen model. Zbl 1388.81589Nazzal, Belal; Razamat, Shlomo S. 17 2018 The \(q\)-Onsager algebra and the universal Askey-Wilson algebra. Zbl 1390.33038Terwilliger, Paul 17 2018 Exact renormalisation group equations and loop equations for tensor models. Zbl 1343.81179Krajewski, Thomas; Toriumi, Reiko 17 2016 Random tensors and quantum gravity. Zbl 1375.60024Rivasseau, Vincent 17 2016 A combinatorial study on quiver varieties. Zbl 1376.14015Fujii, Shigeyuki; Minabe, Satoshi 17 2017 Three-dimensional mirror self-symmetry of the cotangent bundle of the full flag variety. Zbl 1451.53116Rimányi, Richárd; Smirnov, Andrey; Varchenko, Alexander; Zhou, Zijun 17 2019 Evaluations of noncommutative polynomials on algebras: methods and problems, and the L’vov-Kaplansky conjecture. Zbl 1459.16012Kanel-Belov, Alexei; Malev, Sergey; Rowen, Louis; Yavich, Roman 17 2020 Quantum integrable model of an arrangement of hyperplanes. Zbl 1217.82026Varchenko, Alexander 16 2011 Models of quadratic algebras generated by superintegrable systems in 2D. Zbl 1217.22020Post, Sarah 16 2011 Integrable hierarchy of the quantum Benjamin-Ono equation. Zbl 1301.37047Nazarov, Maxim; Sklyanin, Evgeny 16 2013 \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols. Zbl 1218.17013Ben Ammar, Mabrouk; Boujelbene, Maha 16 2008 Symmetric space Cartan connections and gravity in three and four dimensions. Zbl 1188.22014Wise, Derek K. 16 2009 On Tanaka’s prolongation procedure for filtered structures of constant type. Zbl 1190.58007Zelenko, Igor 16 2009 \(\kappa \)-deformed phase space, Hopf algebroid and twisting. Zbl 1310.81098Jurić, Tajron; Kovačević, Domagoj; Meljanac, Stjepan 16 2014 Remarks on contact and Jacobi geometry. Zbl 1369.53057Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz 16 2017 A universal genus-two curve from Siegel modular forms. Zbl 1395.14020Malmendier, Andreas; Shaska, Tony 16 2017 A view on optimal transport from noncommutative geometry. Zbl 1227.82066D’andrea, Francesco; Martinetti, Pierre 15 2010 Hopf maps, lowest Landau level, and fuzzy spheres. 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Zbl 1491.16036Silantyev, Alexey 1 2021 ...and 1387 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,325 Authors 67 Vinet, Luc 42 Zhedanov, Alexei S. 29 Terwilliger, Paul M. 27 Oriti, Daniele 26 Marquette, Ian 25 Rivasseau, Vincent 24 Varchenko, Alexander Nikolaevich 21 Crampé, Nicolas 21 Futorny, Vyacheslav M. 20 Gover, Ashwin Rod 19 Grabowski, Janusz 19 Gurau, Razvan Gheorghe 19 Livine, Etera R. 18 De Bie, Hendrik 18 Scrimshaw, Travis 18 Tarasov, Vitaly Olegovich 18 Tsyganov, Andreĭ Vladimirovich 17 Genest, Vincent X. 17 Khabibullin, Ismagil Talgatovich 17 Meljanac, Stjepan 17 Zhang, Dajun 16 Huang, Hau-wen 16 Mukhin, Evgeny 16 Qu, Changzheng 15 Baseilhac, Pascal 15 Calogero, Francesco A. 15 Carrozza, Sylvain 15 Cheng, Jipeng 15 Derkachëv, Sergeĭ Èduardovich 15 Grigoriev, Maxim 15 Harnad, John 15 Kruglikov, Boris S. 15 Slavnov, Nikita A. 14 Bagarello, Fabio 14 Cariñena, José F. 14 Prykarpatsky, Anatoliy Karolevych 14 Ragoucy, Eric 14 Tanasă, Adrian 14 Tsujimoto, Satoshi 14 Wallet, Jean-Christophe 13 Bouarroudj, Sofiane 13 Bruce, Andrew James 13 Dittrich, Bianca 13 Leites, Dimitry A. 13 Noumi, Masatoshi 13 Quesne, Christiane 13 Ramirez, Luis Enrique 13 Zotov, Andrei V. 12 Adamović, Dražen 12 Bonzom, Valentin 12 Chen, Liangyun 12 Gaboriaud, Julien 12 Grabowska, Katarzyna 12 Herranz, Francisco José 12 Konstantinou-Rizos, Sotiris 12 Martinetti, Pierre 12 Morozov, Alexei Yurievich 12 Olver, Peter John 12 Patera, Jiří 12 Rains, Eric M. 12 Rañada, Manuel F. 11 Ballesteros, Angel 11 Ben Geloun, Joseph 11 Cohl, Howard Saul 11 Dunajski, Maciej 11 Fordy, Allan P. 11 Iliev, Plamen 11 Milson, Robert 11 Nikonorov, Yurii Gennadyevich 11 Popovych, Roman O. 11 Saniga, Metod 11 Sheng, Yunhe 11 Sinelshchikov, Dmitry I. 11 Sitarz, Andrzej 11 van Diejen, Jan Felipe 11 Zabrodin, Anton V. 10 Belliard, Samuel 10 de León Rodríguez, Manuel 10 Dunkl, Charles F. 10 Eynard, Bertrand 10 Gielen, Steffen 10 Gómez-Ullate, David 10 Hrivnák, Jiří 10 Ismail, Mourad El-Houssieny 10 Ito, Masahiko 10 Karp, Dmitriĭ Borisovich 10 Khakimova, Aĭgul’ Rinatovna 10 Korepanov, Igor Germanovich 10 Langmann, Edwin 10 Levi, Decio 10 Miller, Willard jun. 10 Muriel, Concepción 10 Porcu, Emilio 10 Pranzetti, Daniele 10 Rimányi, Richárd 10 Shaska, Tanush 10 Smirnov, Andrey V. 10 Spiridonov, Vyacheslav Pavlovich 10 Szabo, Richard J. 10 Winternitz, Pavel ...and 6,225 more Authors all top 5 Cited in 522 Journals 508 Journal of High Energy Physics 383 Journal of Mathematical Physics 308 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 256 Journal of Physics A: Mathematical and Theoretical 219 Journal of Geometry and Physics 215 Communications in Mathematical Physics 166 Letters in Mathematical Physics 159 Advances in Mathematics 155 Nuclear Physics. B 96 Journal of Algebra 93 Classical and Quantum Gravity 85 Theoretical and Mathematical Physics 79 Journal of Mathematical Analysis and Applications 68 Annales Henri Poincaré 55 Journal of Nonlinear Mathematical Physics 54 Differential Geometry and its Applications 52 Proceedings of the American Mathematical Society 49 Selecta Mathematica. New Series 48 Physics Letters. A 44 Journal of Mathematical Sciences (New York) 37 Linear Algebra and its Applications 35 Communications in Algebra 35 Journal of Functional Analysis 33 Physica D 32 Physics Letters. 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GAFA 11 Journal of Difference Equations and Applications 11 Communications in Contemporary Mathematics 10 Mathematical Notes ...and 422 more Journals all top 5 Cited in 62 Fields 1,899 Quantum theory (81-XX) 1,060 Differential geometry (53-XX) 909 Nonassociative rings and algebras (17-XX) 851 Dynamical systems and ergodic theory (37-XX) 835 Partial differential equations (35-XX) 650 Special functions (33-XX) 631 Relativity and gravitational theory (83-XX) 614 Algebraic geometry (14-XX) 552 Global analysis, analysis on manifolds (58-XX) 434 Associative rings and algebras (16-XX) 385 Mechanics of particles and systems (70-XX) 363 Ordinary differential equations (34-XX) 359 Statistical mechanics, structure of matter (82-XX) 349 Combinatorics (05-XX) 270 Functional analysis (46-XX) 240 Group theory and generalizations (20-XX) 237 Topological groups, Lie groups (22-XX) 225 Probability theory and stochastic processes (60-XX) 223 Difference and functional equations (39-XX) 221 Harmonic analysis on Euclidean spaces (42-XX) 191 Several complex variables and analytic spaces (32-XX) 183 Operator theory (47-XX) 177 Linear and multilinear algebra; matrix theory (15-XX) 171 Manifolds and cell complexes (57-XX) 156 Commutative algebra (13-XX) 135 Number theory (11-XX) 120 Functions of a complex variable (30-XX) 107 Category theory; homological algebra (18-XX) 99 Numerical analysis (65-XX) 78 Algebraic topology (55-XX) 72 Computer science (68-XX) 68 Fluid mechanics (76-XX) 64 \(K\)-theory (19-XX) 63 Approximations and expansions (41-XX) 55 Abstract harmonic analysis (43-XX) 53 Convex and discrete geometry (52-XX) 42 Field theory and polynomials (12-XX) 41 Geometry (51-XX) 41 Optics, electromagnetic theory (78-XX) 38 Statistics (62-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 29 Potential theory (31-XX) 27 Integral transforms, operational calculus (44-XX) 26 Information and communication theory, circuits (94-XX) 25 Mathematical logic and foundations (03-XX) 22 Real functions (26-XX) 21 Mechanics of deformable solids (74-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 General and overarching topics; collections (00-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 17 Astronomy and astrophysics (85-XX) 16 Measure and integration (28-XX) 16 General topology (54-XX) 15 Integral equations (45-XX) 13 Systems theory; control (93-XX) 10 Geophysics (86-XX) 9 Biology and other natural sciences (92-XX) 8 General algebraic systems (08-XX) 8 Sequences, series, summability (40-XX) 8 Operations research, mathematical programming (90-XX) 7 History and biography (01-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year