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## 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: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2005). This journal is available open access.
 Documents Indexed: 1,738 Publications (since 2005) References Indexed: 657 Publications with 21,412 References.
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#### Latest Issues

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#### Authors

 14 Miller, Willard jun. 13 Kalnins, Ernest G. 11 Dunkl, Charles F. 11 Zhedanov, Alexei S. 10 Vinet, Luc 8 Cohl, Howard Saul 8 Post, Sarah 8 Ragoucy, Eric 8 Rains, Eric M. 8 Rastelli, Giovanni 8 Varchenko, Alexander Nikolaevich 7 Belliard, Samuel 7 Chanu, Claudia Maria 7 Grünbaum, Francisco Alberto 7 Pakuliak, Stanislav Z. 7 Quesne, Christiane 7 Ragnisco, Orlando 7 Saniga, Metod 7 Terwilliger, Paul M. 7 Tsyganov, Andreĭ Vladimirovich 6 Crampé, Nicolas 6 Gerdzhikov, Vladimir Stefanov 6 Meljanac, Stjepan 6 Olver, Peter John 6 Ormerod, Christopher Michael 6 Patera, Jiří 6 Shiraishi, Jun’ichi 6 Volkmer, Hans 5 Calogero, Francesco A. 5 Clelland, Jeanne Nielsen 5 Dimakis, Aristophanes 5 Eastwood, Michael G. 5 Fordy, Allan P. 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 Slavnov, Nikita A. 5 Takasaki, Kanehisa 5 Takemura, Kouichi 5 Tarasov, Vitaly Olegovich 5 Top, Jaap 5 Trifonov, Andrey Yu. 5 Van der Jeugt, Joris 5 van der Put, Marius 5 Yamada, Yasuhiko 4 Acosta Humánez, Primitivo Belén 4 Adamović, Dražen 4 Ballesteros, Angel 4 Biswas, Indranil 4 Blaschke, Daniel N. 4 Bruce, Andrew James 4 Brzeziński, Tomasz 4 Cariñena, José F. 4 Coquereaux, Robert 4 D’Andrea, Francesco 4 De Bie, Hendrik 4 Derkachëv, Sergeĭ Èduardovich 4 Etingof, Pavel Il’ich 4 Filipuk, Galina V. 4 Genest, Vincent X. 4 Grabowski, Janusz 4 Herranz, Francisco José 4 Ismail, Mourad El-Houssieny 4 Koornwinder, Tom H. 4 Kress, Jonathan M. 4 Léandre, Rémi 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. 4 Smilga, Andrei V. 4 Spiridonov, Vyacheslav Pavlovich 4 Subag, Eyal M. 4 Tanasă, Adrian 4 Tsujimoto, Satoshi 4 Van Assche, Walter 4 Visinescu, Mihai 4 Yamilov, Ravil Islamovich 4 Zhang, Dajun 4 Znojil, Miloslav 4 Zoupanos, George 3 Agore, Ana-Loredana 3 Anco, Stephen C. 3 Avan, Jean 3 Ayano, Takanori 3 Bertola, Marco ...and 2,189 more Authors
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#### Fields

 473 Quantum theory (81-XX) 336 Differential geometry (53-XX) 305 Dynamical systems and ergodic theory (37-XX) 271 Special functions (33-XX) 242 Nonassociative rings and algebras (17-XX) 214 Partial differential equations (35-XX) 193 Global analysis, analysis on manifolds (58-XX) 177 Algebraic geometry (14-XX) 160 Ordinary differential equations (34-XX) 152 Mechanics of particles and systems (70-XX) 114 Statistical mechanics, structure of matter (82-XX) 109 Associative rings and algebras (16-XX) 108 Relativity and gravitational theory (83-XX) 98 Topological groups, Lie groups (22-XX) 82 Combinatorics (05-XX) 82 Group theory and generalizations (20-XX) 80 Difference and functional equations (39-XX) 75 Functional analysis (46-XX) 71 Harmonic analysis on Euclidean spaces (42-XX) 60 Manifolds and cell complexes (57-XX) 52 Commutative algebra (13-XX) 52 Operator theory (47-XX) 51 Several complex variables and analytic spaces (32-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 46 Probability theory and stochastic processes (60-XX) 42 Functions of a complex variable (30-XX) 41 Number theory (11-XX) 31 Category theory; homological algebra (18-XX) 21 Abstract harmonic analysis (43-XX) 19 Geometry (51-XX) 19 Algebraic topology (55-XX) 17 Integral transforms, operational calculus (44-XX) 17 Optics, electromagnetic theory (78-XX) 16 Field theory and polynomials (12-XX) 16 $$K$$-theory (19-XX) 16 Convex and discrete geometry (52-XX) 13 Approximations and expansions (41-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 10 Real functions (26-XX) 10 Potential theory (31-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Computer science (68-XX) 7 Measure and integration (28-XX) 7 Integral equations (45-XX) 6 History and biography (01-XX) 6 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-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 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

1,237 Publications have been cited 5,293 times in 4,121 Documents Cited by Year
A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary). Zbl 1145.53053
Paneitz, Stephen M.
2008
Colored tensor models – a review. Zbl 1242.05094
Gurau, Razvan; Ryan, James P.
2012
Differential invariants of conformal and projective surfaces. Zbl 1141.53010
Hubert, Evelyne; Olver, Peter J.
2007
Gravity in twistor space and its Grassmannian formulation. Zbl 1296.81160
Cachazo, Freddy; Mason, Lionel; Skinner, David
2014
The universal Askey-Wilson algebra. Zbl 1244.33015
Terwilliger, Paul
2011
Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics. Zbl 1188.81071
Quesne, Christiane
2009
Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz. Zbl 1288.82020
Belliard, Samuel; Crampé, Nicolas
2013
Invitation to random tensors. Zbl 1346.83030
Gurau, Razvan
2016
BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras. Zbl 1358.17006
Graziani, Giacomo; Makhlouf, Abdenacer; Menini, Claudia; Panaite, Florin
2015
The relationship between Zhedanov’s algebra $$AW(3)$$ and the double affine Hecke algebra in the rank one case. Zbl 1134.33321
Koornwinder, Tom H.
2007
Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix. Zbl 1220.17010
Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry
2009
Zhedanov’s algebra $$AW(3)$$ and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra. Zbl 1157.33328
Koornwinder, Tom H.
2008
The universal Askey-Wilson algebra and DAHA of type $$(C_{1}^{\vee },C_{1})$$. Zbl 1293.33022
Terwilliger, Paul
2013
Kernel functions for difference operators of Ruijsenaars type and their applications. Zbl 1160.81393
Komori, Yasushi; Noumi, Masatoshi; Shiraishi, Jun’ichi
2009
Recent developments in (0,2) mirror symmetry. Zbl 1271.32020
Melnikov, Ilarion; Sethi, Savdeep; Sharpe, Eric
2012
An asymmetric noncommutative torus. Zbl 1328.58005
Dąbrowski, Ludwik; Sitarz, Andrzej
2015
Compact Riemannian manifolds with homogeneous geodesics. Zbl 1189.53047
Alekseevsky, Dmitrii V.; Nikonorov, Yurii G.
2009
Manifestly conformal descriptions and higher symmetries of bosonic singletons. Zbl 1241.70049
Bekaert, Xavier; Grigoriev, Maxim
2010
$$\mathcal R$$-matrix and Baxter $$\mathcal Q$$-operators for the noncompact $$\mathrm{SL}(N,\mathbb C)$$ invariant spin chain. Zbl 1138.82009
Derkachov, Sergey É.; Manashov, Alexander N.
2006
The universal Askey-Wilson algebra and the equitable presentation of $$U_{q}(sl_{2})$$. Zbl 1244.33016
Terwilliger, Paul
2011
Orbit functions. Zbl 1118.33004
Klimyk, Anatoliy; Patera, Jiri
2006
Levi-Civita’s theorem for noncommutative tori. Zbl 1291.46068
Rosenberg, Jonathan
2013
Locally compact quantum groups. A von Neumann algebra approach. Zbl 1312.46055
Van Daele, Alfons
2014
Isoparametric and Dupin hypersurfaces. Zbl 1165.53354
Cecil, Thomas E.
2008
Bidifferential calculus approach to AKNS hierarchies and their solutions. Zbl 1218.37076
Dimakis, Aristophanes; Müller-Hoissen, Folkert
2010
Contractions of 2D 2nd order quantum superintegrable systems and the Askey scheme for hypergeometric orthogonal polynomials. Zbl 1293.33013
Kalnins, Ernest G.; Miller, Willard jun.; Post, Sarah
2013
Irreducible generic Gelfand-Tsetlin modules of $$\mathfrak{gl}(n)$$. Zbl 1347.17012
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique
2015
Poisson manifolds, Lie algebroids, modular classes: a survey. Zbl 1147.53067
Kosmann-Schwarzbach, Yvette
2008
Quiver varieties and branching. Zbl 1241.17028
Nakajima, Hiraku
2009
Properties of the exceptional $$(X_{l})$$ Laguerre and Jacobi polynomials. Zbl 1388.33007
Ho, Choon-Lin; Odake, Satoru; Sasaki, Ryu
2011
Comments on the dynamics of the Pais-Uhlenbeck oscillator. Zbl 1208.81094
Smilga, Andrei V.
2009
Combinatorial formulae for nested Bethe vectors. Zbl 1288.82024
Tarasov, Vitaly; Varchenko, Alexander
2013
$$q$$-deformed KP hierarchy and $$q$$-deformed constrained KP hierarchy. Zbl 1093.37027
He, Jingsong; Li, Yinghua; Cheng, Yi
2006
Natural intrinsic geometrical symmetries. Zbl 1189.53018
Haesen, Stefan; Verstraelen, Leopold
2009
Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories. Zbl 1241.70048
Román-Roy, Narciso
2009
SPIN foams and canonical quantization. Zbl 1270.83018
Alexandrov, Sergei; Geiller, Marc; Noui, Karim
2012
Minkowski polynomials and mutations. Zbl 1280.52014
Akhtar, Mohammad; Coates, Tom; Galkin, Sergey; Kasprzyk, Alexander M.
2012
On transformations of the Rabelo equations. Zbl 1136.35094
Sakovich, Anton; Sakovich, Sergei
2007
$$\mathfrak{sl}(2)$$-trivial deformations of $$\text{Vect}_{\text{Pol}}(\mathbb R)$$-modules of symbols. Zbl 1218.17013
Ben Ammar, Mabrouk; Boujelbene, Maha
2008
Integrable background geometries. Zbl 1288.53074
Calderbank, David M. J.
2014
Non-compact symplectic toric manifolds. Zbl 1328.53103
Karshon, Yael; Lerman, Eugene
2015
Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen-Morse II and Eckart potentials. Zbl 1269.81044
Quesne, Christiane
2012
The form factor program: a review and new results - the nested $$\text{SU}(N)$$ off-shell Bethe ansatz. Zbl 1134.81391
Babujian, Hratchya M.; Foerster, Angela; Karowski, Michael
2006
Lie algebroids in classical mechanics and optimal control. Zbl 1142.49023
Martínez, Eduardo
2007
Derivations of the Moyal algebra and noncommutative gauge theories. Zbl 1160.81470
Wallet, Jean-Christophe
2009
Double affine Hecke algebras of rank 1 and the $$\mathbb Z_3$$-symmetric Askey-Wilson relations. Zbl 1220.33018
Ito, Tatsuro; Terwilliger, Paul
2010
Classical and quantum dilogarithm identities. Zbl 1242.13028
Kashaev, Rinat M.; Nakanishi, Tomoki
2011
Flowing in group field theory space: a review. Zbl 1343.81177
Carrozza, Sylvain
2016
Hamiltonian flows of curves in $$G/\text{SO}(N)$$ and vector soliton equations of mKdV and sine-Gordon type. Zbl 1102.37042
Anco, Stephen C.
2006
Symmetric space Cartan connections and gravity in three and four dimensions. Zbl 1188.22014
Wise, Derek K.
2009
Conformal structures associated to generic rank 2 distributions on 5-manifolds – characterization and Killing-field decomposition. Zbl 1191.53016
Hammerl, Matthias; Sagerschnig, Katja
2009
Antisymmetric orbit functions. Zbl 1138.33001
Klimyk, Anatoliy; Patera, Jiri
2007
Three-Hilbert-space formulation of quantum mechanics. Zbl 1160.81017
Znojil, Miloslav
2009
CKP hierarchy, bosonic tau function and bosonization formulae. Zbl 1287.37055
van de Leur, Johan W.; Orlov, Alexander Yu.; Shiota, Takahiro
2012
Integrable hierarchy of the quantum Benjamin-Ono equation. Zbl 1301.37047
Nazarov, Maxim; Sklyanin, Evgeny
2013
Quantum cosmology from group field theory condensates: a review. Zbl 1347.83015
Gielen, Steffen; Sindoni, Lorenzo
2016
Toda equations and piecewise polynomiality for mixed double Hurwitz numbers. Zbl 1336.05003
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2016
Notes on Schubert, Grothendieck and key polynomials. Zbl 1334.05176
Kirillov, Anatol N.
2016
A combinatorial study on quiver varieties. Zbl 1376.14015
Fujii, Shigeyuki; Minabe, Satoshi
2017
Geometry of spectral curves and all order dispersive integrable system. Zbl 1270.14017
Borot, Gaëtan; Eynard, Bertrand
2012
Wall crossing, discrete attractor flow and Borcherds algebra. Zbl 1164.81009
Cheng, Miranda C. N.; Verlinde, Erik P.
2008
A view on optimal transport from noncommutative geometry. Zbl 1227.82066
D’andrea, Francesco; Martinetti, Pierre
2010
Quantum integrable model of an arrangement of hyperplanes. Zbl 1217.82026
Varchenko, Alexander
2011
Geodesic equations on diffeomorphism groups. Zbl 1153.58006
Vizman, Cornelia
2008
A universal genus-two curve from Siegel modular forms. Zbl 1395.14020
2017
Surface defects in E-string compactifications and the van Diejen model. Zbl 1388.81589
Nazzal, Belal; Razamat, Shlomo S.
2018
Post-Lie algebras and isospectral flows. Zbl 1369.17005
Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans Z.
2015
Connections between symmetries and conservation laws. Zbl 1092.70016
Bluman, George
2005
Gröbner bases and generation of difference schemes for partial differential equations. Zbl 1094.68125
2006
Geodesic flow and two (super) component analog of the Camassa-Holm equation. Zbl 1095.53058
Guha, Partha; Olver, Peter J.
2006
On Tanaka’s prolongation procedure for filtered structures of constant type. Zbl 1190.58007
Zelenko, Igor
2009
KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. Zbl 1269.82018
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2012
Bispectrality of the complementary Bannai-Itō polynomials. Zbl 1272.33010
Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei
2013
Solving local equivalence problems with the equivariant moving frame method. Zbl 1277.58004
Valiquette, Francis
2013
A probabilistic origin for a new class of bivariate polynomials. (A probablistic origin for a new class of bivariate polynomials.) Zbl 1163.33308
Hoare, Michael R.; Rahman, Mizan
2008
Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle. Zbl 1163.33325
Tsujimoto, Satoshi; Zhedanov, Alexei
2009
Linearization of second-order ordinary differential equations by generalized Sundman transformations. Zbl 1223.34056
Nakpim, Warisa; Meleshko, Sergey V.
2010
Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end. Zbl 1217.82019
Filali, Ghali; Kitanine, Nikolai
2011
Relational observables in gravity: a review. Zbl 1242.83047
Tambornino, Johannes
2012
Loop quantum gravity vacuum with nondegenerate geometry. Zbl 1242.83042
Koslowski, Tim; Sahlmann, Hanno
2012
Random tensors and quantum gravity. Zbl 1375.60024
Rivasseau, Vincent
2016
Constructive tensor field theory. Zbl 1346.81060
Rivasseau, Vincent
2016
The multi-orientable random tensor model, a review. Zbl 1385.60011
2016
$$\kappa$$-deformed phase space, Hopf algebroid and twisting. Zbl 1310.81098
Jurić, Tajron; Kovačević, Domagoj; Meljanac, Stjepan
2014
Gauge theory on twisted $$\kappa$$-Minkowski: old problems and possible solutions. Zbl 1295.81125
Dimitrijević, Marija; Jonke, Larisa; Pachoł, Anna
2014
$${\mathcal D}$$-pseudo-bosons, complex Hermite polynomials, and integral quantization. Zbl 1326.81078
Ali, S. Twareque; Bagarello, Fabio; Gazeau, Jean Pierre
2015
Spectral analysis of certain Schrödinger operators. Zbl 1270.30003
2012
Courant algebroids. A short history. Zbl 1268.01019
Kosmann-Schwarzbach, Yvette
2013
Besov-type spaces on R$$d$$ and integrability for the Dunkl transform. Zbl 1162.42003
Abdelkefi, Chokri; Anker, Jean-Philippe; Sassi, Feriel; Sifi, Mohamed
2009
Hopf maps, lowest Landau level, and fuzzy spheres. Zbl 1220.81146
Hasebe, Kazuki
2010
Emergent models for gravity: an overview of microscopic models. Zbl 1242.83046
Sindoni, Lorenzo
2012
Exact renormalisation group equations and loop equations for tensor models. Zbl 1343.81179
Krajewski, Thomas; Toriumi, Reiko
2016
Large $$N$$ limits in tensor models: towards more universality classes of colored triangulations in dimension $$d\geq 2$$. Zbl 1343.05059
Bonzom, Valentin
2016
Moments match between the KPZ equation and the Airy point process. Zbl 1348.60007
2016
Graded bundles in the category of Lie groupoids. Zbl 1331.22006
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
2015
$$\mathcal A = \mathcal U$$ for locally acyclic cluster algebras. Zbl 1327.13079
Muller, Greg
2014
Orthogonality within the families of $$C$$-, $$S$$-, and $$E$$-functions of any compact semisimple Lie group. Zbl 1132.33319
Moody, Robert V.; Patera, Jiri
2006
A recurrence relation approach to higher order quantum superintegrability. Zbl 1217.81105
Kalnins, Ernie G.; Kress, Jonathan M.; Miller, Willard jun.
2011
Completely integrable contact Hamiltonian systems and toric contact structures on $$S^{2}\times S^{3}$$. Zbl 1242.53112
Boyer, Charles P.
2011
From $$\text{sl}_q(2)$$ to a parabosonic Hopf algebra. Zbl 1246.17022
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
2011
Exceptional Legendre polynomials and confluent Darboux Transformations. Zbl 1466.33006
García-Ferrero, María Ángeles; Gómez-Ullate, David; Milson, Robert
2021
The differential geometry of the orbit space of extended affine Jacobi group $$A_1$$. Zbl 07342219
Almeida, Guilherme F.
2021
Linear independence of generalized Poincaré series for anti-De Sitter 3-manifolds. Zbl 1462.58015
Kannaka, Kazuki
2021
The holonomy groupoids of singularly foliated bundles. Zbl 1467.53024
MacDonald, Lachlan Ewen
2021
On the Abuaf-Ueda flop via non-commutative crepant resolutions. Zbl 07342622
Hara, Wahei
2021
Convergence to the product of the standard spheres and eigenvalues of the Laplacian. Zbl 1467.53036
Aino, Masayuki
2021
Computing regular meromorphic differential forms via Saito’s logarithmic residues. Zbl 07342216
Tajima, Shinichi; Nabeshima, Katsusuke
2021
Space curves and solitons of the KP hierarchy. I: The $$l$$-th generalized KdV hierarchy. Zbl 07342221
Kodama, Yuji; Xie, Yuancheng
2021
Some algebraic aspects of the inhomogeneous six-vertex model. Zbl 07342222
Bazhanov, Vladimir V.; Kotousov, Gleb A.; Koval, Sergii M.; Lukyanov, Sergei L.
2021
Curvature-dimension condition meets Gromov’s $$n$$-volumic scalar curvature. Zbl 1466.53049
Deng, Jialong
2021
On $$q$$-isomonodromic deformations and $$q$$-Nekrasov functions. Zbl 1467.39006
Nagoya, Hajime
2021
Local moduli of semisimple Frobenius coalescent structures. Zbl 1442.53060
Cotti, Giordano; Dubrovin, Boris; Guzzetti, Davide
2020
Short star-products for filtered quantizations, I. Zbl 07181791
Etingof, Pavel; Stryker, Douglas
2020
Cyclic sieving and cluster duality of Grassmannian. Zbl 07227212
Shen, Linhui; Weng, Daping
2020
Higher rank $$\hat{Z}$$ and $$F_K$$. Zbl 1460.57013
Park, Sunghyuk
2020
Finite-dimensional irreducible modules of the Racah algebra at characteristic zero. Zbl 1436.81054
2020
The Schwarz-Voronov embedding of $$\mathbb{Z}_2^n$$-manifolds. Zbl 1433.58011
Bruce, Andrew James; Ibarguengoytia, Eduardo; Poncin, Norbert
2020
On complex gamma-function integrals. Zbl 1436.81043
Derkachov, Sergey É.; Manashov, Alexander N.
2020
Isomorphism between the $$R$$-matrix and Drinfeld presentations of quantum affine algebra: types $$B$$ and $$D$$. Zbl 07209356
Jing, Naihuan; Liu, Ming; Molev, Alexander
2020
Triply periodic monopoles and difference modules on elliptic curves. Zbl 1441.53016
Mochizuki, Takuro
2020
The Racah algebra as a subalgebra of the Bannai-Ito algebra. Zbl 1455.81030
Huang, Hau-Wen
2020
Cyclic sieving for plane partitions and symmetry. Zbl 1461.05240
Hopkins, Sam
2020
Analytic classification of families of linear differential systems unfolding a resonant irregular singularity. Zbl 1436.34080
Klimeš, Martin
2020
Some consequences of categorification. Zbl 1436.13052
Rupel, Dylan; Stella, Salvatore
2020
Permutation-equivariant quantum $$K$$-theory X. Quantum Hirzebruch-Riemann-Roch in genus 0. Zbl 1437.14055
Givental, Alexander
2020
Generalized B-opers. Zbl 07209354
Biswas, Indranil; Schaposnik, Laura P.; Yang, Mengxue
2020
Reddening sequences for Banff quivers and the class $$\mathcal{P}$$. Zbl 1440.13099
Bucher, Eric; Machacek, John
2020
On the notion of noncommutative submanifold. Zbl 1454.46074
D&rsquo;Andrea, Francesco
2020
New explicit Lorentzian Einstein-Weyl structures in 3-dimensions. Zbl 1442.83009
Merker, Joël; Nurowski, Paweł
2020
Dendriform algebras relative to a semigroup. Zbl 07227211
Aguiar, Marcelo
2020
Evaluations of noncommutative polynomials on algebras: methods and problems, and the L’vov-Kaplansky conjecture. Zbl 1459.16012
Kanel-Belov, Alexei; Malev, Sergey; Rowen, Louis; Yavich, Roman
2020
Barnes-Ismagilov integrals and hypergeometric functions of the complex field. Zbl 1456.33008
Neretin, Yury A.
2020
The endless beta integrals. Zbl 07292442
Sarkissian, Gor A.; Spiridonov, Vyacheslav P.
2020
Twisted representations of algebra of $$q$$-difference operators, twisted $$q-W$$ algebras and conformal blocks. Zbl 1460.17035
Bershtein, Mikhail; Gonin, Roman
2020
On the unbounded picture of $$KK$$-theory. Zbl 1462.19003
2020
Non-stationary Ruijsenaars functions for $$\kappa = t^{-1/N}$$ and intertwining operators of Ding-Iohara-Miki algebra. Zbl 1461.33008
Fukuda, Masayuki; Ohkubo, Yusuke; Shiraishi, Jun&rsquo;ichi
2020
Aspects of Hecke symmetry: anomalies, curves, and chazy equations. Zbl 1444.34108
Ashok, Sujay K.; Jatkar, Dileep P.; Raman, Madhusudhan
2020
A constraint on Chern classes of strictly pseudoconvex CR manifolds. Zbl 1446.32025
Takeuchi, Yuya
2020
NNSC-cobordism of Bartnik data in high dimensions. Zbl 1440.53041
Hu, Xue; Shi, Yuguang
2020
Nonnegative scalar curvature and area decreasing maps. Zbl 1439.53051
Zhang, Weiping
2020
Breathing modes, quartic nonlinearities and effective resonant systems. Zbl 1464.37064
Evnin, Oleg
2020
Duality for Knizhnik-Zamolodchikov and dynamical operators. Zbl 07196492
Tarasov, Vitaly; Uvarov, Filipp
2020
Note on the retarded Van der Waals potential within the dipole approximation. Zbl 1437.81137
2020
Representations and conjugacy classes of semisimple quasitriangular Hopf algebras. Zbl 1441.18020
Burciu, Sebastian
2020
Dual invertible polynomials with permutation symmetries and the orbifold Euler characteristic. Zbl 1440.14187
2020
On the extended-Hamiltonian structure of certain superintegrable systems on constant-curvature Riemannian and pseudo-Riemannian surfaces. Zbl 1445.37040
Chanu, Claudia Maria; Rastelli, Giovanni
2020
Multi-component extension of CAC systems. Zbl 1448.37092
Zhang, Dan-Da; van der Kamp, Peter H.; Zhang, Da-Jun
2020
The elliptic Painlevé Lax equation vs. van Diejen’s 8-coupling elliptic Hamiltonian. Zbl 07227208
Noumi, Masatoshi; Ruijsenaars, Simon; Yamada, Yasuhiko
2020
Solvable Lie algebras of vector fields and a Lie’s conjecture. Zbl 07227210
Grabowska, Katarzyna; Grabowski, Janusz
2020
A faithful braid group action on the stable category of tricomplexes. Zbl 07189245
Khovanov, Mikhail; Qi, You
2020
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Helliwell, Dylan
2020
Modular construction of free hyperplane arrangements. Zbl 1455.52025
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2020
Integral structure for simple singularities. Zbl 07292449
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Multidimensional matrix inversions and elliptic hypergeometric series on root systems. Zbl 1460.33021
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Gauss coordinates vs currents for the Yangian doubles of the classical types. Zbl 1462.82014
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2020
Obstructions for symplectic Lie algebroids. Zbl 1458.53085
Klaasse, Ralph L.
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Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing. Zbl 1456.53058
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2020
Width, largeness and index theory. Zbl 1455.19005
Zeidler, Rudolf
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The causal action in Minkowski space and surface layer integrals. Zbl 1458.83003
Finster, Felix
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Conjectures and open questions on the structure and regularity of spaces with lower Ricci curvature bounds. Zbl 1456.53005
Naber, Aaron
2020
Basic properties of non-stationary Ruijsenaars functions. Zbl 1456.81210
Langmann, Edwin; Noumi, Masatoshi; Shiraishi, Junichi
2020
Real part of twisted-by-grading spectral triples. Zbl 1460.58006
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2020
Flat structure on the space of isomonodromic deformations. Zbl 1465.34100
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Determinantal expressions in multi-species TASEP. Zbl 1454.60143
Kuan, Jeffrey
2020
Knot complement, ADO invariants and their deformations for torus knots. Zbl 1459.57017
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Hom-Lie algebras and Hom-Lie groups, integration and differentiation. Zbl 07302822
Jiang, Jun; Mishra, Satyendra Kumar; Sheng, Yunhe
2020
Extension quiver for Lie superalgebra $$\mathfrak{q}(3)$$. Zbl 07302826
Grantcharov, Nikolay; Serganova, Vera
2020
Combinatorial expressions for the tau functions of $$q$$-Painlevé V and III equations. Zbl 1423.39009
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2019
Three-dimensional mirror self-symmetry of the cotangent bundle of the full flag variety. Zbl 1451.53116
Rimányi, Richárd; Smirnov, Andrey; Varchenko, Alexander; Zhou, Zijun
2019
A solvable deformation of quantum mechanics. Zbl 1411.81139
Grassi, Alba; Mariño, Marcos
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Solution of an open problem about two families of orthogonal polynomials. Zbl 1412.42068
Van Assche, Walter
2019
Generalised umbral moonshine. Zbl 1439.11115
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2019
Relations between Schoenberg coefficients on real and complex spheres of different dimensions. Zbl 1416.42004
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2019
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2019
Ghostpeakons and characteristic curves for the Camassa-Holm, Degasperis-Procesi and Novikov equations. Zbl 1414.35042
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2019
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2019
The Horn problem for real symmetric and quaternionic self-dual matrices. Zbl 1451.15008
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A family of $$\mathrm{GL}_r$$ multiplicative Higgs bundles on rational base. Zbl 1464.16029
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2019
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Construction of intertwining operators between holomorphic discrete series representations. Zbl 1420.22012
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Ghosal, Promit
2019
Exact Bohr-Sommerfeld conditions for the quantum periodic Benjamin-Ono equation. Zbl 1448.81350
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2019
Commuting ordinary differential operators and the Dixmier test. Zbl 1432.13021
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2019
Open problems for Painlevé equations. Zbl 1416.33028
Clarkson, Peter A.
2019
Block-separation of variables: a form of partial separation for natural Hamiltonians. Zbl 1448.70047
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2019
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2019
A short guide to orbifold deconstruction. Zbl 1464.81048
Bantay, Peter
2019
A self-dual integral form of the moonshine module. Zbl 1436.17037
Carnahan, Scott
2019
Generalised Darboux-Koenigs metrics and 3-dimensional superintegrable systems. Zbl 1420.37038
Fordy, Allan P.; Huang, Qing
2019
Duality between final-seed and initial-seed mutations in cluster algebras. Zbl 1423.13123
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2019
Meromorphic solution of the degenerate third Painlevé equation vanishing at the origin. Zbl 1440.34095
Kitaev, Alexander V.
2019
Orthogonal dualities of Markov processes and unitary symmetries. Zbl 1423.60116
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2019
Interpolations between Jordanian twists induced by coboundary twists. Zbl 1425.81090
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2019
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2019
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#### Cited by 4,551 Authors

 47 Vinet, Luc 33 Zhedanov, Alexei S. 24 Rivasseau, Vincent 22 Terwilliger, Paul M. 20 Varchenko, Alexander Nikolaevich 17 Genest, Vincent X. 17 Oriti, Daniele 16 Gover, Ashwin Rod 15 Calogero, Francesco A. 15 Futorny, Vyacheslav M. 14 Tarasov, Vitaly Olegovich 13 Carrozza, Sylvain 13 Cheng, Jipeng 13 Derkachëv, Sergeĭ Èduardovich 13 Scrimshaw, Travis 12 Bagarello, Fabio 12 Grabowski, Janusz 12 Huang, Hau-wen 12 Kruglikov, Boris S. 12 Marquette, Ian 12 Patera, Jiří 12 Prykarpatsky, Anatoliy Karolevych 12 Qu, Changzheng 12 Ragoucy, Eric 12 Ramirez, Luis Enrique 12 Slavnov, Nikita A. 12 Tanasă, Adrian 12 Tsyganov, Andreĭ Vladimirovich 12 Wallet, Jean-Christophe 11 Harnad, John 11 Livine, Etera R. 11 Martinetti, Pierre 11 Meljanac, Stjepan 11 Mukhin, Evgeny 11 Saniga, Metod 11 Zhang, Dajun 10 Adamović, Dražen 10 Baseilhac, Pascal 10 Ben Geloun, Joseph 10 Crampé, Nicolas 10 De Bie, Hendrik 10 Milson, Robert 10 Olver, Peter John 10 Popovych, Roman O. 10 Tsujimoto, Satoshi 9 Bruce, Andrew James 9 Fordy, Allan P. 9 Khabibullin, Ismagil Talgatovich 9 Iliev, Plamen 9 Ismail, Mourad El-Houssieny 9 Ito, Masahiko 9 Korepanov, Igor Germanovich 9 Morozov, Alexei Yurievich 9 Noumi, Masatoshi 9 Quesne, Christiane 9 Rains, Eric M. 9 Rimányi, Richárd 9 Shaska, Tanush 9 Sheng, Yunhe 9 Zabrodin, Anton V. 9 Zotov, Andrei V. 8 Babich, Mikhail Vasil’evich 8 Belliard, Samuel 8 Benedetti, Dario 8 Bonzom, Valentin 8 Borodin, Alexei 8 Bouarroudj, Sofiane 8 Bozhkov, Yuri Dimitrov 8 Cariñena, José F. 8 Dittrich, Bianca 8 Dunajski, Maciej 8 Eynard, Bertrand 8 Gerdt, Vladimir P. 8 Gómez-Ullate, David 8 Grigoriev, Maxim 8 He, Jingsong 8 Hrivnák, Jiří 8 Leites, Dimitry A. 8 Levi, Decio 8 Makhlouf, Abdenacer 8 Rañada, Manuel F. 8 Rastelli, Giovanni 8 Sitarz, Andrzej 8 Sukochev, Fedor Anatol’evich 8 Valiquette, Francis 7 Benayadi, Saïd 7 Burde, Dietrich 7 Chari, Vyjayanthi 7 Chen, Liangyun 7 D’Andrea, Francesco 7 De Commer, Kenny 7 de Lucas, Javier 7 Dunkl, Charles F. 7 Gadella, Manuel 7 García-Naranjo, Luis C. 7 Goswami, Debashish 7 Grabowska, Katarzyna 7 Grandati, Yves 7 Herbig, Hans-Christian 7 Herranz, Francisco José ...and 4,451 more Authors
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#### Cited in 425 Journals

 343 Journal of Mathematical Physics 336 Journal of High Energy Physics 233 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 184 Journal of Geometry and Physics 164 Communications in Mathematical Physics 126 Letters in Mathematical Physics 108 Advances in Mathematics 102 Nuclear Physics. B 76 Journal of Physics A: Mathematical and Theoretical 68 Journal of Algebra 61 Journal of Mathematical Analysis and Applications 57 Theoretical and Mathematical Physics 52 Journal of Nonlinear Mathematical Physics 47 Proceedings of the American Mathematical Society 45 Annales Henri Poincaré 44 Differential Geometry and its Applications 37 Journal of Mathematical Sciences (New York) 34 Physics Letters. A 32 Linear Algebra and its Applications 31 Selecta Mathematica. New Series 29 International Journal of Geometric Methods in Modern Physics 28 Regular and Chaotic Dynamics 27 Classical and Quantum Gravity 26 Journal of Approximation Theory 26 Transactions of the American Mathematical Society 26 Algebras and Representation Theory 24 Communications in Algebra 24 International Journal of Theoretical Physics 24 Applied Mathematics and Computation 24 Journal of Functional Analysis 23 Journal of Geometric Mechanics 22 Physics Letters. B 22 Journal of Combinatorial Theory. Series A 22 Journal of Differential Equations 22 Annals of Global Analysis and Geometry 21 Journal of Pure and Applied Algebra 21 Mathematische Zeitschrift 19 Reports on Mathematical Physics 19 Mathematical Physics, Analysis and Geometry 18 General Relativity and Gravitation 18 Acta Applicandae Mathematicae 18 Constructive Approximation 18 The Journal of Geometric Analysis 16 Nonlinearity 16 Advances in Applied Clifford Algebras 16 Advances in High Energy Physics 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Calculus of Variations and Partial Differential Equations 15 Transformation Groups 15 The Ramanujan Journal 15 Communications in Nonlinear Science and Numerical Simulation 15 Journal of Statistical Mechanics: Theory and Experiment 14 Journal of Algebraic Combinatorics 14 Journal of Noncommutative Geometry 14 Science China. Mathematics 14 Symmetry 13 Foundations of Physics 12 Journal of Statistical Physics 12 Studies in Applied Mathematics 12 Physica D 12 International Journal of Mathematics 12 Mediterranean Journal of Mathematics 11 Duke Mathematical Journal 11 Manuscripta Mathematica 11 Results in Mathematics 11 Advances in Applied Mathematics 11 Journal of Nonlinear Science 11 Discrete and Continuous Dynamical Systems 11 Nonlinear Dynamics 11 Advances in Mathematical Physics 10 Chaos, Solitons and Fractals 10 Compositio Mathematica 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Proceedings of the Steklov Institute of Mathematics 9 Mathematical Methods in the Applied Sciences 9 Mathematical Notes 9 Russian Mathematical Surveys 9 Annales de l’Institut Fourier 9 Applied Mathematics Letters 8 Geometriae Dedicata 8 Inventiones Mathematicae 8 Chinese Annals of Mathematics. Series B 8 Séminaire Lotharingien de Combinatoire 8 Journal of the European Mathematical Society (JEMS) 8 Analysis and Mathematical Physics 8 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 Algebraic Combinatorics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Functional Analysis and its Applications 7 Journal of Computational and Applied Mathematics 7 Mathematische Annalen 7 Acta Mathematica Hungarica 7 Geometric and Functional Analysis. GAFA 7 Abstract and Applied Analysis 7 Central European Journal of Mathematics 7 Frontiers of Mathematics in China 7 European Journal of Mathematics 6 Colloquium Mathematicum 6 Illinois Journal of Mathematics 6 Journal für die Reine und Angewandte Mathematik ...and 325 more Journals
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#### Cited in 62 Fields

 1,261 Quantum theory (81-XX) 722 Differential geometry (53-XX) 639 Nonassociative rings and algebras (17-XX) 610 Partial differential equations (35-XX) 582 Dynamical systems and ergodic theory (37-XX) 449 Special functions (33-XX) 444 Relativity and gravitational theory (83-XX) 409 Global analysis, analysis on manifolds (58-XX) 375 Algebraic geometry (14-XX) 273 Associative rings and algebras (16-XX) 269 Mechanics of particles and systems (70-XX) 252 Ordinary differential equations (34-XX) 232 Statistical mechanics, structure of matter (82-XX) 218 Combinatorics (05-XX) 198 Functional analysis (46-XX) 175 Topological groups, Lie groups (22-XX) 169 Group theory and generalizations (20-XX) 152 Harmonic analysis on Euclidean spaces (42-XX) 138 Difference and functional equations (39-XX) 135 Probability theory and stochastic processes (60-XX) 120 Operator theory (47-XX) 119 Linear and multilinear algebra; matrix theory (15-XX) 117 Several complex variables and analytic spaces (32-XX) 94 Commutative algebra (13-XX) 84 Manifolds and cell complexes (57-XX) 81 Functions of a complex variable (30-XX) 80 Numerical analysis (65-XX) 69 Number theory (11-XX) 60 Category theory; homological algebra (18-XX) 60 Computer science (68-XX) 51 Fluid mechanics (76-XX) 46 Algebraic topology (55-XX) 38 Approximations and expansions (41-XX) 37 $$K$$-theory (19-XX) 37 Abstract harmonic analysis (43-XX) 31 Optics, electromagnetic theory (78-XX) 30 Convex and discrete geometry (52-XX) 29 Geometry (51-XX) 26 Field theory and polynomials (12-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 23 Statistics (62-XX) 20 Integral transforms, operational calculus (44-XX) 19 Potential theory (31-XX) 19 Information and communication theory, circuits (94-XX) 16 Mathematical logic and foundations (03-XX) 16 Mechanics of deformable solids (74-XX) 15 Real functions (26-XX) 13 Measure and integration (28-XX) 12 General topology (54-XX) 12 Astronomy and astrophysics (85-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Integral equations (45-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Geophysics (86-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Sequences, series, summability (40-XX) 6 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General algebraic systems (08-XX)