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: 1,978 Publications (since 2005) References Indexed: 894 Publications with 29,942 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 Meljanac, Stjepan 9 Quesne, Christiane 9 Ragoucy, Eric 9 Rastelli, Giovanni 9 Varchenko, Alexander Nikolaevich 8 Chanu, Claudia Maria 8 Post, Sarah 8 Rains, Eric M. 8 Tsyganov, Andreĭ Vladimirovich 7 Belliard, Samuel 7 Crampé, Nicolas 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 Eastwood, Michael G. 6 Etingof, Pavel Il’ich 6 Fordy, Allan P. 6 Gerdzhikov, Vladimir Stefanov 6 Levi, Decio 6 Olver, Peter John 6 Ormerod, Christopher Michael 6 Patera, Jiří 6 Shiraishi, Jun’ichi 6 Top, Jaap 6 van der Put, Marius 6 Yamada, Yasuhiko 6 Zhang, Dajun 5 Acosta Humánez, Primitivo Belén 5 Biswas, Indranil 5 Bouarroudj, Sofiane 5 Bruce, Andrew James 5 Brzeziński, Tomasz 5 Calogero, Francesco A. 5 Clelland, Jeanne Nielsen 5 Derkachëv, Sergeĭ Èduardovich 5 Dimakis, Aristophanes 5 Klimek, Slawomir 5 Klimyk, Anatoliy Ul’yanovich 5 Korepanov, Igor Germanovich 5 Kuniba, Atsuo 5 Mcbride, Matt 5 Menegatto, Valdir Antonio 5 Müller-Hoissen, Folkert 5 Nakanishi, Tomoki 5 Noumi, Masatoshi 5 Schaposnik, Laura P. 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 Trifonov, Andrey Yu. 5 Van der Jeugt, Joris 4 Adamović, Dražen 4 Ayano, Takanori 4 Ballesteros, Angel 4 Bertola, Marco 4 Blaom, Anthony D. 4 Blaschke, Daniel N. 4 Cariñena, José F. 4 Clarkson, Peter A. 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 Sheftel, Mikhail B. ...and 2,512 more Authors all top 5 Fields 538 Quantum theory (81-XX) 389 Differential geometry (53-XX) 337 Dynamical systems and ergodic theory (37-XX) 305 Special functions (33-XX) 290 Nonassociative rings and algebras (17-XX) 232 Partial differential equations (35-XX) 225 Algebraic geometry (14-XX) 210 Global analysis, analysis on manifolds (58-XX) 177 Ordinary differential equations (34-XX) 165 Mechanics of particles and systems (70-XX) 140 Associative rings and algebras (16-XX) 125 Statistical mechanics, structure of matter (82-XX) 115 Relativity and gravitational theory (83-XX) 111 Topological groups, Lie groups (22-XX) 103 Combinatorics (05-XX) 97 Functional analysis (46-XX) 95 Difference and functional equations (39-XX) 92 Group theory and generalizations (20-XX) 75 Manifolds and cell complexes (57-XX) 73 Harmonic analysis on Euclidean spaces (42-XX) 64 Probability theory and stochastic processes (60-XX) 63 Several complex variables and analytic spaces (32-XX) 62 Commutative algebra (13-XX) 62 Operator theory (47-XX) 56 Number theory (11-XX) 49 Linear and multilinear algebra; matrix theory (15-XX) 49 Functions of a complex variable (30-XX) 41 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) 18 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 Numerical analysis (65-XX) 12 Fluid mechanics (76-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 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,507 Publications have been cited 8,128 times in 6,197 Documents Cited by ▼ Year ▼ A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary). Zbl 1145.53053Paneitz, Stephen M. 144 2008 Colored tensor models – a review. Zbl 1242.05094Gurau, Razvan; Ryan, James P. 128 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 BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras. Zbl 1358.17006Graziani, Giacomo; Makhlouf, Abdenacer; Menini, Claudia; Panaite, Florin 50 2015 Invitation to random tensors. Zbl 1346.83030Gurau, Razvan 49 2016 Gravity in twistor space and its Grassmannian formulation. Zbl 1296.81160Cachazo, Freddy; Mason, Lionel; Skinner, David 45 2014 Minkowski polynomials and mutations. Zbl 1280.52014Akhtar, Mohammad; Coates, Tom; Galkin, Sergey; Kasprzyk, Alexander M. 42 2012 Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz. 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Zbl 1459.16012Kanel-Belov, Alexei; Malev, Sergey; Rowen, Louis; Yavich, Roman 18 2020 A combinatorial study on quiver varieties. Zbl 1376.14015Fujii, Shigeyuki; Minabe, Satoshi 17 2017 KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. Zbl 1269.82018Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander 17 2012 Simplex and polygon equations. Zbl 1338.06001Dimakis, Aristophanes; Müller-Hoissen, Folkert 17 2015 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 Geodesic equations on diffeomorphism groups. Zbl 1153.58006Vizman, Cornelia 17 2008 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 A view on optimal transport from noncommutative geometry. Zbl 1227.82066D’andrea, Francesco; Martinetti, Pierre 16 2010 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 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 Some open problems in random matrix theory and the theory of integrable systems. II. Zbl 1375.37160Deift, Percy 16 2017 Embeddings of the Racah algebra into the Bannai-Itô algebra. Zbl 1318.33027Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 16 2015 A universal genus-two curve from Siegel modular forms. Zbl 1395.14020Malmendier, Andreas; Shaska, Tony 16 2017 \(\kappa \)-deformed phase space, Hopf algebroid and twisting. Zbl 1310.81098Jurić, Tajron; Kovačević, Domagoj; Meljanac, Stjepan 16 2014 \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols. Zbl 1218.17013Ben Ammar, Mabrouk; Boujelbene, Maha 16 2008 Hopf maps, lowest Landau level, and fuzzy spheres. Zbl 1220.81146Hasebe, Kazuki 15 2010 Constructive tensor field theory. Zbl 1346.81060Rivasseau, Vincent 15 2016 Cluster configuration spaces of finite type. Zbl 1484.13049Arkani-Hamed, Nima; He, Song; Lam, Thomas 15 2021 Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization. Zbl 1242.42020Grünbaum, F. Alberto; De La Iglesia, Manuel D.; Martínez-Finkelshtein, Andrei 15 2011 Introduction to loop quantum cosmology. 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Zbl 1471.53034Botvinnik, Boris; Walsh, Mark G. 1 2021 ...and 1407 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,473 Authors 69 Vinet, Luc 43 Zhedanov, Alexei S. 30 Terwilliger, Paul M. 28 Oriti, Daniele 26 Marquette, Ian 25 Rivasseau, Vincent 24 Varchenko, Alexander Nikolaevich 22 Crampé, Nicolas 21 Futorny, Vyacheslav M. 20 Gover, Ashwin Rod 20 Grabowski, Janusz 20 Livine, Etera R. 20 Zhang, Dajun 19 De Bie, Hendrik 19 Gurau, Razvan Gheorghe 19 Tsyganov, Andreĭ Vladimirovich 18 Meljanac, Stjepan 18 Scrimshaw, Travis 18 Tarasov, Vitaly Olegovich 17 Genest, Vincent X. 17 Khabibullin, Ismagil Talgatovich 17 Huang, Hau-wen 16 Derkachëv, Sergeĭ Èduardovich 16 Mukhin, Evgeny 16 Qu, Changzheng 15 Baseilhac, Pascal 15 Bouarroudj, Sofiane 15 Calogero, Francesco A. 15 Cariñena, José F. 15 Carrozza, Sylvain 15 Cheng, Jipeng 15 Grigoriev, Maxim 15 Harnad, John 15 Kruglikov, Boris S. 15 Slavnov, Nikita A. 14 Bagarello, Fabio 14 Leites, Dimitry A. 14 Prykarpatsky, Anatoliy Karolevych 14 Ragoucy, Eric 14 Tanasă, Adrian 14 Tsujimoto, Satoshi 14 Wallet, Jean-Christophe 13 Bruce, Andrew James 13 Chen, Liangyun 13 Dittrich, Bianca 13 Grabowska, Katarzyna 13 Noumi, Masatoshi 13 Quesne, Christiane 13 Ramirez, Luis Enrique 13 Rañada, Manuel F. 13 Zotov, Andrei V. 12 Adamović, Dražen 12 Bonzom, Valentin 12 Gaboriaud, Julien 12 Herranz, Francisco José 12 Iliev, Plamen 12 Konstantinou-Rizos, Sotiris 12 Martinetti, Pierre 12 Morozov, Alexei Yurievich 12 Olver, Peter John 12 Patera, Jiří 12 Rains, Eric M. 11 Ballesteros, Angel 11 Ben Geloun, Joseph 11 Cohl, Howard Saul 11 de León Rodríguez, Manuel 11 Dunajski, Maciej 11 Eynard, Bertrand 11 Fordy, Allan P. 11 Hrivnák, Jiří 11 Levi, Decio 11 Milson, Robert 11 Nikonorov, Yurii Gennadyevich 11 Popovych, Roman O. 11 Porcu, Emilio 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 Dunkl, Charles F. 10 Gielen, Steffen 10 Gómez-Ullate, David 10 He, Jingsong 10 Ismail, Mourad El-Houssieny 10 Ito, Masahiko 10 Karp, Dmitriĭ Borisovich 10 Khakimova, Aĭgul’ Rinatovna 10 Korepanov, Igor Germanovich 10 Langmann, Edwin 10 Makhlouf, Abdenacer 10 Miller, Willard jun. 10 Muriel, Concepción 10 Pranzetti, Daniele 10 Rimányi, Richárd 10 Román-Roy, Narciso 10 Shaska, Tanush 10 Smirnov, Andrey V. ...and 6,373 more Authors all top 5 Cited in 530 Journals 519 Journal of High Energy Physics 384 Journal of Mathematical Physics 319 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 263 Journal of Physics A: Mathematical and Theoretical 223 Communications in Mathematical Physics 219 Journal of Geometry and Physics 169 Letters in Mathematical Physics 160 Advances in Mathematics 156 Nuclear Physics. B 100 Journal of Algebra 97 Classical and Quantum Gravity 89 Theoretical and Mathematical Physics 79 Journal of Mathematical Analysis and Applications 68 Annales Henri Poincaré 55 Proceedings of the American Mathematical Society 55 Journal of Nonlinear Mathematical Physics 54 Differential Geometry and its Applications 49 Selecta Mathematica. New Series 48 Physics Letters. A 44 Journal of Mathematical Sciences (New York) 38 Linear Algebra and its Applications 35 Communications in Algebra 35 Journal of Functional Analysis 34 Physica D 33 Transactions of the American Mathematical Society 32 Physics Letters. 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GAFA ...and 430 more Journals all top 5 Cited in 62 Fields 1,934 Quantum theory (81-XX) 1,087 Differential geometry (53-XX) 936 Nonassociative rings and algebras (17-XX) 884 Dynamical systems and ergodic theory (37-XX) 853 Partial differential equations (35-XX) 667 Special functions (33-XX) 664 Relativity and gravitational theory (83-XX) 636 Algebraic geometry (14-XX) 562 Global analysis, analysis on manifolds (58-XX) 445 Associative rings and algebras (16-XX) 397 Mechanics of particles and systems (70-XX) 376 Ordinary differential equations (34-XX) 364 Statistical mechanics, structure of matter (82-XX) 359 Combinatorics (05-XX) 276 Functional analysis (46-XX) 246 Group theory and generalizations (20-XX) 244 Topological groups, Lie groups (22-XX) 232 Difference and functional equations (39-XX) 232 Probability theory and stochastic processes (60-XX) 226 Harmonic analysis on Euclidean spaces (42-XX) 196 Several complex variables and analytic spaces (32-XX) 188 Operator theory (47-XX) 183 Linear and multilinear algebra; matrix theory (15-XX) 171 Manifolds and cell complexes (57-XX) 162 Commutative algebra (13-XX) 138 Number theory (11-XX) 124 Functions of a complex variable (30-XX) 109 Category theory; homological algebra (18-XX) 104 Numerical analysis (65-XX) 83 Algebraic topology (55-XX) 75 Computer science (68-XX) 67 Fluid mechanics (76-XX) 65 \(K\)-theory (19-XX) 63 Approximations and expansions (41-XX) 55 Abstract harmonic analysis (43-XX) 54 Convex and discrete geometry (52-XX) 44 Geometry (51-XX) 43 Field theory and polynomials (12-XX) 41 Statistics (62-XX) 41 Optics, electromagnetic theory (78-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 32 Potential theory (31-XX) 27 Integral transforms, operational calculus (44-XX) 26 Mathematical logic and foundations (03-XX) 26 Real functions (26-XX) 26 Information and communication theory, circuits (94-XX) 22 Mechanics of deformable solids (74-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 General and overarching topics; collections (00-XX) 18 Astronomy and astrophysics (85-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 17 General topology (54-XX) 16 Measure and integration (28-XX) 15 Integral equations (45-XX) 13 Systems theory; control (93-XX) 10 Geophysics (86-XX) 9 Sequences, series, summability (40-XX) 9 Biology and other natural sciences (92-XX) 8 General algebraic systems (08-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