## 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: 1,861 Publications (since 2005) References Indexed: 780 Publications with 25,695 References.
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### Latest Issues

 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)
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### Authors

 15 Miller, Willard jun. 13 Kalnins, Ernest G. 11 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 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 Terwilliger, Paul M. 7 Tsyganov, Andreĭ Vladimirovich 7 Volkmer, Hans 6 Crampé, Nicolas 6 Eastwood, Michael G. 6 Gerdzhikov, Vladimir Stefanov 6 Olver, Peter John 6 Ormerod, Christopher Michael 6 Patera, Jiří 6 Shiraishi, Jun’ichi 6 Takemura, Kouichi 6 Yamada, Yasuhiko 5 Bruce, Andrew James 5 Calogero, Francesco A. 5 Clelland, Jeanne Nielsen 5 Derkachëv, Sergeĭ Èduardovich 5 Dimakis, Aristophanes 5 Etingof, Pavel Il’ich 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 Tarasov, Vitaly Olegovich 5 Top, Jaap 5 Trifonov, Andrey Yu. 5 Van der Jeugt, Joris 5 van der Put, Marius 5 Zhang, Dajun 4 Acosta Humánez, Primitivo Belén 4 Adamović, Dražen 4 Ayano, Takanori 4 Ballesteros, Angel 4 Bertola, Marco 4 Biswas, Indranil 4 Blaom, Anthony D. 4 Blaschke, Daniel N. 4 Brzeziński, Tomasz 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 Herranz, Francisco José 4 Ismail, Mourad El-Houssieny 4 Koornwinder, Tom H. 4 Kress, Jonathan M. 4 Léandre, Rémi 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 Skrypnyk, Taras Volodymyrovych 4 Smilga, Andrei V. 4 Spiridonov, Vyacheslav Pavlovich 4 Subag, Eyal M. 4 Tanasă, Adrian ...and 2,351 more Authors
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### Fields

 511 Quantum theory (81-XX) 360 Differential geometry (53-XX) 325 Dynamical systems and ergodic theory (37-XX) 289 Special functions (33-XX) 268 Nonassociative rings and algebras (17-XX) 222 Partial differential equations (35-XX) 206 Algebraic geometry (14-XX) 203 Global analysis, analysis on manifolds (58-XX) 170 Ordinary differential equations (34-XX) 158 Mechanics of particles and systems (70-XX) 123 Associative rings and algebras (16-XX) 122 Statistical mechanics, structure of matter (82-XX) 113 Relativity and gravitational theory (83-XX) 106 Topological groups, Lie groups (22-XX) 95 Combinatorics (05-XX) 88 Group theory and generalizations (20-XX) 88 Difference and functional equations (39-XX) 84 Functional analysis (46-XX) 72 Harmonic analysis on Euclidean spaces (42-XX) 66 Manifolds and cell complexes (57-XX) 61 Several complex variables and analytic spaces (32-XX) 58 Commutative algebra (13-XX) 58 Operator theory (47-XX) 53 Probability theory and stochastic processes (60-XX) 51 Number theory (11-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 47 Functions of a complex variable (30-XX) 36 Category theory; homological algebra (18-XX) 23 Abstract harmonic analysis (43-XX) 23 Algebraic topology (55-XX) 20 Geometry (51-XX) 18 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) 13 Approximations and expansions (41-XX) 12 Potential theory (31-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Real functions (26-XX) 11 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 9 Computer science (68-XX) 8 Integral equations (45-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Measure and integration (28-XX) 7 Statistics (62-XX) 6 History and biography (01-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 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)

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1,348 Publications have been cited 6,257 times in 4,859 Documents Cited by Year
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Colored tensor models – a review. Zbl 1242.05094
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Differential invariants of conformal and projective surfaces. Zbl 1141.53010
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2007
The universal Askey-Wilson algebra. Zbl 1244.33015
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2011
Invitation to random tensors. Zbl 1346.83030
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2016
Gravity in twistor space and its Grassmannian formulation. Zbl 1296.81160
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2014
BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras. Zbl 1358.17006
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2015
Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz. Zbl 1288.82020
Belliard, Samuel; Crampé, Nicolas
2013
Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics. Zbl 1188.81071
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2009
Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix. Zbl 1220.17010
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2009
Compact Riemannian manifolds with homogeneous geodesics. Zbl 1189.53047
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2009
The relationship between Zhedanov’s algebra $$AW(3)$$ and the double affine Hecke algebra in the rank one case. Zbl 1134.33321
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2007
Minkowski polynomials and mutations. Zbl 1280.52014
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Kernel functions for difference operators of Ruijsenaars type and their applications. Zbl 1160.81393
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2009
The universal Askey-Wilson algebra and DAHA of type $$(C_{1}^{\vee },C_{1})$$. Zbl 1293.33022
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2013
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 the equitable presentation of $$U_{q}(sl_{2})$$. Zbl 1244.33016
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2011
Levi-Civita’s theorem for noncommutative tori. Zbl 1291.46068
Rosenberg, Jonathan
2013
An asymmetric noncommutative torus. Zbl 1328.58005
Dąbrowski, Ludwik; Sitarz, Andrzej
2015
$$\mathcal R$$-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
Recent developments in (0,2) mirror symmetry. Zbl 1271.32020
Melnikov, Ilarion; Sethi, Savdeep; Sharpe, Eric
2012
Orbit functions. Zbl 1118.33004
Klimyk, Anatoliy; Patera, Jiri
2006
Manifestly conformal descriptions and higher symmetries of bosonic singletons. Zbl 1241.70049
Bekaert, Xavier; Grigoriev, Maxim
2010
Quantum cosmology from group field theory condensates: a review. Zbl 1347.83015
Gielen, Steffen; Sindoni, Lorenzo
2016
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
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
Quiver varieties and branching. Zbl 1241.17028
Nakajima, Hiraku
2009
Bidifferential calculus approach to AKNS hierarchies and their solutions. Zbl 1218.37076
Dimakis, Aristophanes; Müller-Hoissen, Folkert
2010
Natural intrinsic geometrical symmetries. Zbl 1189.53018
Haesen, Stefan; Verstraelen, Leopold
2009
Poisson manifolds, Lie algebroids, modular classes: a survey. Zbl 1147.53067
Kosmann-Schwarzbach, Yvette
2008
Flowing in group field theory space: a review. Zbl 1343.81177
Carrozza, Sylvain
2016
SPIN foams and canonical quantization. Zbl 1270.83018
Alexandrov, Sergei; Geiller, Marc; Noui, Karim
2012
Integrable background geometries. Zbl 1288.53074
Calderbank, David M. J.
2014
$$q$$-deformed KP hierarchy and $$q$$-deformed constrained KP hierarchy. Zbl 1093.37027
He, Jingsong; Li, Yinghua; Cheng, Yi
2006
Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories. Zbl 1241.70048
Román-Roy, Narciso
2009
Properties of the exceptional $$(X_{l})$$ Laguerre and Jacobi polynomials. Zbl 1388.33007
Ho, Choon-Lin; Odake, Satoru; Sasaki, Ryu
2011
Relational observables in gravity: a review. Zbl 1242.83047
Tambornino, Johannes
2012
Irreducible generic Gelfand-Tsetlin modules of $$\mathfrak{gl}(n)$$. Zbl 1347.17012
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique
2015
On transformations of the Rabelo equations. Zbl 1136.35094
Sakovich, Anton; Sakovich, Sergei
2007
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
Conformal structures associated to generic rank 2 distributions on 5-manifolds – characterization and Killing-field decomposition. Zbl 1191.53016
Hammerl, Matthias; Sagerschnig, Katja
2009
Loop quantum gravity vacuum with nondegenerate geometry. Zbl 1242.83042
Koslowski, Tim; Sahlmann, Hanno
2012
Exact renormalisation group equations and loop equations for tensor models. Zbl 1343.81179
Krajewski, Thomas; Toriumi, Reiko
2016
Wall crossing, discrete attractor flow and Borcherds algebra. Zbl 1164.81009
Cheng, Miranda C. N.; Verlinde, Erik P.
2008
$$\mathfrak{sl}(2)$$-trivial deformations of $$\text{Vect}_{\text{Pol}}(\mathbb R)$$-modules of symbols. Zbl 1218.17013
Ben Ammar, Mabrouk; Boujelbene, Maha
2008
Linearization of second-order ordinary differential equations by generalized Sundman transformations. Zbl 1223.34056
Nakpim, Warisa; Meleshko, Sergey V.
2010
Lie algebroids in classical mechanics and optimal control. Zbl 1142.49023
Martínez, Eduardo
2007
Geodesic equations on diffeomorphism groups. Zbl 1153.58006
Vizman, Cornelia
2008
Non-compact symplectic toric manifolds. Zbl 1328.53103
Karshon, Yael; Lerman, Eugene
2015
Notes on Schubert, Grothendieck and key polynomials. Zbl 1334.05176
Kirillov, Anatol N.
2016
Random tensors and quantum gravity. Zbl 1375.60024
Rivasseau, Vincent
2016
Moments match between the KPZ equation and the Airy point process. Zbl 1348.60007
2016
A universal genus-two curve from Siegel modular forms. Zbl 1395.14020
2017
Derivations of the Moyal algebra and noncommutative gauge theories. Zbl 1160.81470
Wallet, Jean-Christophe
2009
Three-Hilbert-space formulation of quantum mechanics. Zbl 1160.81017
Znojil, Miloslav
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
Symmetric space Cartan connections and gravity in three and four dimensions. Zbl 1188.22014
Wise, Derek K.
2009
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
Antisymmetric orbit functions. Zbl 1138.33001
Klimyk, Anatoliy; Patera, Jiri
2007
Classical and quantum dilogarithm identities. Zbl 1242.13028
Kashaev, Rinat M.; Nakanishi, Tomoki
2011
CKP hierarchy, bosonic tau function and bosonization formulae. Zbl 1287.37055
van de Leur, Johan W.; Orlov, Alexander Yu.; Shiota, Takahiro
2012
Toda equations and piecewise polynomiality for mixed double Hurwitz numbers. Zbl 1336.05003
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2016
Surface defects in E-string compactifications and the van Diejen model. Zbl 1388.81589
Nazzal, Belal; Razamat, Shlomo S.
2018
On time correlations for KPZ growth in one dimension. Zbl 1344.60095
Ferrari, Patrik L.; Spohn, Herbert
2016
Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen-Morse II and Eckart potentials. Zbl 1269.81044
Quesne, Christiane
2012
$$\kappa$$-deformed phase space, Hopf algebroid and twisting. Zbl 1310.81098
Jurić, Tajron; Kovačević, Domagoj; Meljanac, Stjepan
2014
Integrable hierarchy of the quantum Benjamin-Ono equation. Zbl 1301.37047
Nazarov, Maxim; Sklyanin, Evgeny
2013
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
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
On $$q$$-deformations of the Heun equation. Zbl 1395.39003
Takemura, Kouichi
2018
Geometry of spectral curves and all order dispersive integrable system. Zbl 1270.14017
Borot, Gaëtan; Eynard, Bertrand
2012
A combinatorial study on quiver varieties. Zbl 1376.14015
Fujii, Shigeyuki; Minabe, Satoshi
2017
Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle. Zbl 1163.33325
Tsujimoto, Satoshi; Zhedanov, Alexei
2009
Rigged configurations and Kashiwara operators. Zbl 1376.17024
Sakamoto, Reiho
2014
Post-Lie algebras and isospectral flows. Zbl 1369.17005
Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans Z.
2015
Emergent models for gravity: an overview of microscopic models. Zbl 1242.83046
Sindoni, Lorenzo
2012
On the relations between gravity and BF theories. Zbl 1242.83040
Freidel, Laurent; Speziale, Simone
2012
The multi-orientable random tensor model, a review. Zbl 1385.60011
2016
The $$q$$-Onsager algebra and the universal Askey-Wilson algebra. Zbl 1390.33038
Terwilliger, Paul
2018
Constructive tensor field theory. Zbl 1346.81060
Rivasseau, Vincent
2016
Bispectrality of the complementary Bannai-Itō polynomials. Zbl 1272.33010
Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei
2013
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
Embeddings of the Racah algebra into the Bannai-Itô algebra. Zbl 1318.33027
Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei
2015
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
Leibniz algebras and Lie algebras. Zbl 1376.17004
Mason, Geoffrey; Yamskulna, Gaywalee
2013
Hopf maps, lowest Landau level, and fuzzy spheres. Zbl 1220.81146
Hasebe, Kazuki
2010
Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end. Zbl 1217.82019
Filali, Ghali; Kitanine, Nikolai
2011
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
Introduction to loop quantum cosmology. Zbl 1242.83032
Banerjee, Kinjal; Calcagni, Gianluca; Martín-Benito, Mercedes
2012
Large $$N$$ limits in tensor models: towards more universality classes of colored triangulations in dimension $$d\geq 2$$. Zbl 1343.05059
Bonzom, Valentin
2016
KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. Zbl 1269.82018
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2012
Courant algebroids. A short history. Zbl 1268.01019
Kosmann-Schwarzbach, Yvette
2013
Solving local equivalence problems with the equivariant moving frame method. Zbl 1277.58004
Valiquette, Francis
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
On the quantum $$K$$-theory of the quintic. Zbl 1487.14120
Garoufalidis, Stavros; Scheidegger, Emanuel
2022
Pullback coherent states, squeezed states and quantization. Zbl 07516859
Dey, Rukmini; Ghosh, Kohinoor
2022
Relating stated skein algebras and internal skein algebras. Zbl 07557708
Haïoun, Benjamin
2022
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 1477.53111
Almeida, Guilherme F.
2021
Curvature-dimension condition meets Gromov’s $$n$$-volumic scalar curvature. Zbl 1466.53049
Deng, Jialong
2021
Space curves and solitons of the KP hierarchy. I: The $$l$$-th generalized KdV hierarchy. Zbl 1468.37052
Kodama, Yuji; Xie, Yuancheng
2021
Some algebraic aspects of the inhomogeneous six-vertex model. Zbl 1473.82008
Bazhanov, Vladimir V.; Kotousov, Gleb A.; Koval, Sergii M.; Lukyanov, Sergei L.
2021
CFT correlators for Cardy bulk fields via string-net models. Zbl 1462.81177
Schweigert, Christoph; Yang, Yang
2021
An expansion formula for decorated super-Teichmüller spaces. Zbl 1484.30048
Musiker, Gregg; Ovenhouse, Nicholas; Zhang, Sylvester W.
2021
Integrable $$\mathcal{E}$$-models, 4d Chern-Simons theory and affine Gaudin models. I: Lagrangian aspects. Zbl 07425533
Lacroix, Sylvain; Vicedo, Benoît
2021
Families of Gröbner degenerations, Grassmannians and universal cluster algebras. Zbl 07425534
Bossinger, Lara; Mohammadi, Fatemeh; Nájera Chávez, Alfredo
2021
Exponential formulas, normal ordering and the Weyl-Heisenberg algebra. Zbl 07431223
Meljanac, Stjepan; Štrajn, Rina
2021
Perturbative and geometric analysis of the quartic Kontsevich model. Zbl 1480.81098
Branahl, Johannes; Hock, Alexander; Wulkenhaar, Raimar
2021
Cluster configuration spaces of finite type. Zbl 1484.13049
Arkani-Hamed, Nima; He, Song; Lam, Thomas
2021
On $$q$$-isomonodromic deformations and $$q$$-Nekrasov functions. Zbl 1467.39006
Nagoya, Hajime
2021
Representations of the Lie superalgebra $$\mathfrak{osp}(1|2n)$$ with polynomial bases. Zbl 1489.17008
Bisbo, Asmus K.; De Bie, Hendrik; Van der Jeugt, Joris
2021
An introduction to motivic Feynman integrals. Zbl 1473.81067
Rella, Claudia
2021
Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities. Zbl 1471.53034
Botvinnik, Boris; Walsh, Mark G.
2021
Convergence to the product of the standard spheres and eigenvalues of the Laplacian. Zbl 1467.53036
Aino, Masayuki
2021
Quantum K-theory of Grassmannians and non-abelian localization. Zbl 1471.14113
Givental, Alexander; Yan, Xiaohan
2021
Computing regular meromorphic differential forms via Saito’s logarithmic residues. Zbl 1472.32013
Tajima, Shinichi; Nabeshima, Katsusuke
2021
A spectral triple for a solenoid based on the Sierpinski gasket. Zbl 1466.28007
Aiello, Valeriano; Guido, Daniele; Isola, Tommaso
2021
Parameter permutation symmetry in particle systems and random polymers. Zbl 1467.82059
Petrov, Leonid
2021
Pfaffian point processes from free fermion algebras: perfectness and conditional measures. Zbl 1459.60109
Koshida, Shinji
2021
Interplay between opers, quantum curves, WKB analysis, and Higgs bundles. Zbl 1469.14067
Dumitrescu, Olivia; Mulase, Motohico
2021
The primitive derivation and discrete integrals. Zbl 1462.52040
Suyama, Daisuke; Yoshinaga, Masahiko
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 1469.14036
Hara, Wahei
2021
A fully noncommutative Painlevé II hierarchy: Lax pair and solutions related to Fredholm determinants. Zbl 1477.34116
Tarricone, Sofia
2021
Manin matrices for quadratic algebras. Zbl 1491.16036
Silantyev, Alexey
2021
Good wild harmonic bundles and good filtered Higgs bundles. Zbl 1489.53032
Mochizuki, Takuro
2021
$$\mathbb{Z}_2^3$$-graded extensions of Lie superalgebras and superconformal quantum mechanics. Zbl 07413744
Doi, Shunya; Aizawa, Naruhiko
2021
A framework for geometric field theories and their classification in dimension one. Zbl 1482.57035
Ludewig, Matthias; Stoffel, Augusto
2021
Resurgent analysis of Ward-Schwinger-Dyson equations. Zbl 07413748
Bellon, Marc P.; Russo, Enrico I.
2021
Quantum representation of affine Weyl groups and associated quantum curves. Zbl 1476.39008
2021
Minimal kinematics: an all $$k$$ and $$n$$ peek into $$\mathrm{Trop}^+ \mathrm{G}(k,n)$$. Zbl 1482.14067
Cachazo, Freddy; Early, Nick
2021
Linear $$\mathbb{Z}_2^n$$-manifolds and linear actions. Zbl 1477.58004
Bruce, Andrew James; Ibarguëngoytia, Eduardo; Poncin, Norbert
2021
Algebraic structures on typed decorated rooted trees. Zbl 07431225
Foissy, Loïc
2021
Semiclassical trans-series from the perturbative Hopf-algebraic Dyson-Schwinger equations: $$\phi^3$$ QFT in 6 dimensions. Zbl 1480.81096
Borinsky, Michael; Dunne, Gerald V.; Meynig, Max
2021
Hypergeometric functions at unit argument: simple derivation of old and new identities. Zbl 07431237
Çetinkaya, Asena; Karp, Dmitrii; Prilepkina, Elena
2021
Cyclic sieving and cluster duality of Grassmannian. Zbl 1471.13048
Shen, Linhui; Weng, Daping
2020
Local moduli of semisimple Frobenius coalescent structures. Zbl 1442.53060
Cotti, Giordano; Dubrovin, Boris; Guzzetti, Davide
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
Higher rank $$\hat{Z}$$ and $$F_K$$. Zbl 1460.57013
Park, Sunghyuk
2020
Short star-products for filtered quantizations. I. Zbl 1480.81078
Etingof, Pavel; Stryker, Douglas
2020
Finite-dimensional irreducible modules of the Racah algebra at characteristic zero. Zbl 1436.81054
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
Cyclic sieving for plane partitions and symmetry. Zbl 1461.05240
Hopkins, Sam
2020
The Schwarz-Voronov embedding of $$\mathbb{Z}_2^n$$-manifolds. Zbl 1433.58011
Bruce, Andrew James; Ibarguengoytia, Eduardo; Poncin, Norbert
2020
New explicit Lorentzian Einstein-Weyl structures in 3-dimensions. Zbl 1442.83009
Merker, Joël; Nurowski, Paweł
2020
The elliptic Painlevé Lax equation vs. van Diejen’s 8-coupling elliptic Hamiltonian. Zbl 1476.39021
Noumi, Masatoshi; Ruijsenaars, Simon; Yamada, Yasuhiko
2020
The Racah algebra as a subalgebra of the Bannai-Ito algebra. Zbl 1455.81030
Huang, Hau-Wen
2020
Flat structure on the space of isomonodromic deformations. Zbl 1465.34100
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro
2020
On complex gamma-function integrals. Zbl 1436.81043
Derkachov, Sergey É.; Manashov, Alexander N.
2020
A constraint on Chern classes of strictly pseudoconvex CR manifolds. Zbl 1446.32025
Takeuchi, Yuya
2020
Dual invertible polynomials with permutation symmetries and the orbifold Euler characteristic. Zbl 1440.14187
2020
Multi-component extension of CAC systems. Zbl 1448.37092
Zhang, Dan-Da; van der Kamp, Peter H.; Zhang, Da-Jun
2020
Barnes-Ismagilov integrals and hypergeometric functions of the complex field. Zbl 1456.33008
Neretin, Yury A.
2020
On the unbounded picture of $$KK$$-theory. Zbl 1462.19003
2020
Simple vectorial Lie algebras in characteristic 2 and their superizations. Zbl 1476.17014
Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina
2020
Basic properties of non-stationary Ruijsenaars functions. Zbl 1456.81210
Langmann, Edwin; Noumi, Masatoshi; Shiraishi, Junichi
2020
Aspects of Hecke symmetry: anomalies, curves, and chazy equations. Zbl 1444.34108
Ashok, Sujay K.; Jatkar, Dileep P.; Raman, Madhusudhan
2020
A faithful braid group action on the stable category of tricomplexes. Zbl 1468.20067
Khovanov, Mikhail; Qi, You
2020
Collapsed Ricci limit spaces as non-collapsed RCD spaces. Zbl 1436.53026
Honda, Shouhei
2020
Non-abelian Hodge theory and related topics. Zbl 1439.14007
Huang, Pengfei
2020
Breathing modes, quartic nonlinearities and effective resonant systems. Zbl 1464.37064
Evnin, Oleg
2020
Triply periodic monopoles and difference modules on elliptic curves. Zbl 1441.53016
Mochizuki, Takuro
2020
Mirror symmetry for nonabelian Landau-Ginzburg models. Zbl 1454.14108
Priddis, Nathan; Ward, Joseph; Williams, Matthew M.
2020
Dendriform algebras relative to a semigroup. Zbl 1472.18012
Aguiar, Marcelo
2020
The endless beta integrals. Zbl 1473.33009
Sarkissian, Gor A.; Spiridonov, Vyacheslav P.
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
Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing. Zbl 1456.53058
Huang, Shaosai; Rong, Xiaochun; Wang, Bing
2020
The causal action in Minkowski space and surface layer integrals. Zbl 1458.83003
Finster, Felix
2020
Conjectures and open questions on the structure and regularity of spaces with lower Ricci curvature bounds. Zbl 1456.53005
Naber, Aaron
2020
Perfect integrability and Gaudin models. Zbl 1456.82294
Lu, Kang
2020
Determinantal expressions in multi-species TASEP. Zbl 1454.60143
Kuan, Jeffrey
2020
Hom-Lie algebras and Hom-Lie groups, integration and differentiation. Zbl 07302822
Jiang, Jun; Mishra, Satyendra Kumar; Sheng, Yunhe
2020
Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process. Zbl 1456.82674
Lee, Eunghyun
2020
Riemannian geometry of a discretized circle and torus. Zbl 1486.46078
Bochniak, Arkadiusz; Sitarz, Andrzej; Zalecki, Paweł
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
Bach flow on homogeneous products. Zbl 1436.53078
Helliwell, Dylan
2020
NNSC-cobordism of Bartnik data in high dimensions. Zbl 1440.53041
Hu, Xue; Shi, Yuguang
2020
Permutation-equivariant quantum $$K$$-theory X. Quantum Hirzebruch-Riemann-Roch in genus 0. Zbl 1437.14055
Givental, Alexander
2020
Nonnegative scalar curvature and area decreasing maps. Zbl 1439.53051
Zhang, Weiping
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
Reduced forms of linear differential systems and the intrinsic Galois-Lie algebra of Katz. Zbl 1448.12002
Barkatou, Moulay; Cluzeau, Thomas; Di Vizio, Lucia; Weil, Jacques-Arthur
2020
On the number of $$\tau$$-tilting modules over Nakayama algebras. Zbl 1443.16019
Gao, Hanpeng; Schiffler, Ralf
2020
Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results. Zbl 1471.58033
Ponge, Raphaël
2020
Solvable Lie algebras of vector fields and a Lie’s conjecture. Zbl 1490.17015
Grabowska, Katarzyna; Grabowski, Janusz
2020
Twisted representations of algebra of $$q$$-difference operators, twisted $$q-W$$ algebras and conformal blocks. Zbl 1460.17035
Bershtein, Mikhail; Gonin, Roman
2020
Branching rules for Koornwinder polynomials with one column diagrams and matrix inversions. Zbl 1455.33010
Hoshino, Ayumu; Shiraishi, Jun&rsquo;ichi
2020
A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra $$\mathfrak{osp}(m, 2 | 2n)$$. Zbl 1484.17014
Barbier, Sigiswald; Claerebout, Sam; De Bie, Hendrik
2020
Yangian of the general linear Lie superalgebra. Zbl 1478.17016
Nazarov, Maxim
2020
Gauss coordinates vs currents for the Yangian doubles of the classical types. Zbl 1462.82014
Liashyk, Andrii; Pakuliak, Stanislav Z.
2020
Feature matching and heat flow in centro-affine geometry. Zbl 1460.53010
Olver, Peter J.; Qu, Changzheng; Yang, Yun
2020
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### Cited by 5,262 Authors

 54 Vinet, Luc 37 Zhedanov, Alexei S. 26 Terwilliger, Paul M. 25 Rivasseau, Vincent 21 Oriti, Daniele 21 Varchenko, Alexander Nikolaevich 18 Gurau, Razvan Gheorghe 17 Futorny, Vyacheslav M. 17 Genest, Vincent X. 17 Gover, Ashwin Rod 17 Livine, Etera R. 16 Scrimshaw, Travis 15 Calogero, Francesco A. 15 Carrozza, Sylvain 15 Cheng, Jipeng 15 Grabowski, Janusz 14 Crampé, Nicolas 14 Derkachëv, Sergeĭ Èduardovich 14 Huang, Hau-wen 14 Kruglikov, Boris S. 14 Meljanac, Stjepan 14 Mukhin, Evgeny 14 Qu, Changzheng 14 Slavnov, Nikita A. 14 Tarasov, Vitaly Olegovich 14 Tsyganov, Andreĭ Vladimirovich 14 Zhang, Dajun 13 Bagarello, Fabio 13 Baseilhac, Pascal 13 Prykarpatsky, Anatoliy Karolevych 13 Ramirez, Luis Enrique 12 Harnad, John 12 Marquette, Ian 12 Patera, Jiří 12 Ragoucy, Eric 12 Tanasă, Adrian 12 Wallet, Jean-Christophe 11 Bonzom, Valentin 11 Bruce, Andrew James 11 Chen, Liangyun 11 De Bie, Hendrik 11 Dittrich, Bianca 11 Leites, Dimitry A. 11 Martinetti, Pierre 11 Milson, Robert 11 Noumi, Masatoshi 11 Popovych, Roman O. 11 Saniga, Metod 10 Adamović, Dražen 10 Ben Geloun, Joseph 10 Bouarroudj, Sofiane 10 Dunajski, Maciej 10 Herranz, Francisco José 10 Iliev, Plamen 10 Korepanov, Igor Germanovich 10 Olver, Peter John 10 Rimányi, Richárd 10 Shaska, Tanush 10 Sheng, Yunhe 10 Sinelshchikov, Dmitry I. 10 Tsujimoto, Satoshi 10 Zabrodin, Anton V. 10 Zotov, Andrei V. 9 Ballesteros, Angel 9 Belliard, Samuel 9 Benedetti, Dario 9 Cariñena, José F. 9 Fordy, Allan P. 9 Gómez-Ullate, David 9 Grabowska, Katarzyna 9 Grigoriev, Maxim 9 Khabibullin, Ismagil Talgatovich 9 He, Jingsong 9 Hrivnák, Jiří 9 Ismail, Mourad El-Houssieny 9 Ito, Masahiko 9 Klimek, Slawomir 9 Langmann, Edwin 9 Levi, Decio 9 Makhlouf, Abdenacer 9 Morozov, Alexei Yurievich 9 Muriel, Concepción 9 Porcu, Emilio 9 Pranzetti, Daniele 9 Quesne, Christiane 9 Rains, Eric M. 9 Rastelli, Giovanni 9 Sukochev, Fedor Anatol’evich 9 Szabo, Richard J. 9 van Diejen, Jan Felipe 8 Babich, Mikhail Vasil’evich 8 Benayadi, Saïd 8 Borodin, Alexei 8 Bozhkov, Yuri Dimitrov 8 Chang, Xiangke 8 D’Andrea, Francesco 8 Dunkl, Charles F. 8 Eynard, Bertrand 8 Fassò, Francesco 8 Gaboriaud, Julien ...and 5,162 more Authors
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### Cited in 476 Journals

 350 Journal of Mathematical Physics 347 Journal of High Energy Physics 276 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 201 Journal of Geometry and Physics 186 Communications in Mathematical Physics 152 Letters in Mathematical Physics 134 Nuclear Physics. B 125 Advances in Mathematics 81 Journal of Algebra 76 Journal of Physics A: Mathematical and Theoretical 72 Classical and Quantum Gravity 72 Theoretical and Mathematical Physics 68 Journal of Mathematical Analysis and Applications 59 Annales Henri Poincaré 54 Journal of Nonlinear Mathematical Physics 50 Differential Geometry and its Applications 49 Proceedings of the American Mathematical Society 41 Physics Letters. A 41 Journal of Mathematical Sciences (New York) 38 Selecta Mathematica. New Series 34 Linear Algebra and its Applications 31 Journal of Functional Analysis 30 Regular and Chaotic Dynamics 29 Transactions of the American Mathematical Society 29 Algebras and Representation Theory 29 International Journal of Geometric Methods in Modern Physics 28 Journal of Geometric Mechanics 27 Physics Letters. B 27 Journal of Approximation Theory 26 Communications in Algebra 26 Mathematische Zeitschrift 25 International Journal of Theoretical Physics 25 Journal of Pure and Applied Algebra 25 Mathematical Physics, Analysis and Geometry 24 Applied Mathematics and Computation 24 Annals of Global Analysis and Geometry 23 Reports on Mathematical Physics 23 Journal of Combinatorial Theory. Series A 23 Journal of Differential Equations 22 General Relativity and Gravitation 22 The Journal of Geometric Analysis 21 Constructive Approximation 21 Communications in Nonlinear Science and Numerical Simulation 18 Acta Applicandae Mathematicae 18 Physica D 18 Calculus of Variations and Partial Differential Equations 18 The Ramanujan Journal 17 International Journal of Mathematics 17 Journal of Statistical Mechanics: Theory and Experiment 17 Advances in High Energy Physics 16 Nonlinearity 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Advances in Applied Clifford Algebras 16 Transformation Groups 16 Science China. Mathematics 15 Chaos, Solitons and Fractals 15 Advances in Applied Mathematics 15 Journal of Algebraic Combinatorics 15 Mediterranean Journal of Mathematics 14 Journal of Statistical Physics 14 Journal of Nonlinear Science 14 Journal of Lie Theory 14 Journal of Noncommutative Geometry 14 Advances in Mathematical Physics 14 Symmetry 13 Manuscripta Mathematica 13 Journal of Algebra and its Applications 13 Journal of Cosmology and Astroparticle Physics 13 Foundations of Physics 13 Analysis and Mathematical Physics 13 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 13 Algebraic Combinatorics 12 Duke Mathematical Journal 12 Geometriae Dedicata 12 Studies in Applied Mathematics 11 Inventiones Mathematicae 11 Results in Mathematics 11 Discrete and Continuous Dynamical Systems 11 Nonlinear Dynamics 11 Ufimskiĭ Matematicheskiĭ Zhurnal 10 Mathematical Notes 10 Reviews in Mathematical Physics 10 Annales de l’Institut Fourier 10 Compositio Mathematica 10 Geometric and Functional Analysis. GAFA 10 Integral Transforms and Special Functions 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Proceedings of the Steklov Institute of Mathematics 10 European Journal of Mathematics 9 Mathematical Methods in the Applied Sciences 9 Russian Mathematical Surveys 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Applied Mathematics Letters 9 The Electronic Journal of Combinatorics 9 Journal of Difference Equations and Applications 9 Communications in Contemporary Mathematics 9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 Physics Reports 8 Functional Analysis and its Applications 8 Journal für die Reine und Angewandte Mathematik ...and 376 more Journals
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### Cited in 63 Fields

 1,450 Quantum theory (81-XX) 864 Differential geometry (53-XX) 753 Nonassociative rings and algebras (17-XX) 687 Partial differential equations (35-XX) 667 Dynamical systems and ergodic theory (37-XX) 540 Relativity and gravitational theory (83-XX) 533 Special functions (33-XX) 470 Algebraic geometry (14-XX) 470 Global analysis, analysis on manifolds (58-XX) 338 Associative rings and algebras (16-XX) 321 Mechanics of particles and systems (70-XX) 303 Ordinary differential equations (34-XX) 284 Statistical mechanics, structure of matter (82-XX) 275 Combinatorics (05-XX) 231 Functional analysis (46-XX) 204 Topological groups, Lie groups (22-XX) 200 Group theory and generalizations (20-XX) 187 Harmonic analysis on Euclidean spaces (42-XX) 173 Probability theory and stochastic processes (60-XX) 167 Difference and functional equations (39-XX) 153 Several complex variables and analytic spaces (32-XX) 145 Linear and multilinear algebra; matrix theory (15-XX) 145 Operator theory (47-XX) 115 Manifolds and cell complexes (57-XX) 114 Commutative algebra (13-XX) 96 Functions of a complex variable (30-XX) 94 Number theory (11-XX) 86 Numerical analysis (65-XX) 73 Category theory; homological algebra (18-XX) 64 Computer science (68-XX) 63 Algebraic topology (55-XX) 57 Fluid mechanics (76-XX) 49 $$K$$-theory (19-XX) 46 Abstract harmonic analysis (43-XX) 44 Approximations and expansions (41-XX) 42 Convex and discrete geometry (52-XX) 36 Field theory and polynomials (12-XX) 35 Geometry (51-XX) 34 Optics, electromagnetic theory (78-XX) 29 Statistics (62-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 23 Potential theory (31-XX) 22 Integral transforms, operational calculus (44-XX) 21 Mathematical logic and foundations (03-XX) 19 Mechanics of deformable solids (74-XX) 19 Information and communication theory, circuits (94-XX) 18 Real functions (26-XX) 16 General topology (54-XX) 15 Astronomy and astrophysics (85-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Measure and integration (28-XX) 12 Integral equations (45-XX) 10 General and overarching topics; collections (00-XX) 9 Geophysics (86-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 7 Sequences, series, summability (40-XX) 6 History and biography (01-XX) 6 General algebraic systems (08-XX) 6 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)