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Belliard, Samuel

Co-Author Distance
Author ID: belliard.samuel Recent zbMATH articles by "Belliard, Samuel"
Published as: Belliard, S.; Belliard, Samuel
Documents Indexed: 36 Publications since 2008, including 4 Additional arXiv Preprints
Co-Authors: 11 Co-Authors with 34 Joint Publications
168 Co-Co-Authors
all top 5

Co-Authors

1 single-authored
13 Slavnov, Nikita A.
11 Ragoucy, Eric
7 Baseilhac, Pascal
6 Pakuliak, Stanislav Z.
6 Pimenta, Rodrigo Alves
5 Crampé, Nicolas
2 Vallet, Benoit
1 Avan, Jean
1 Faribault, Alexandre
1 Grosjean, Nicolas
1 Regelskis, Vidas
all top 5

Serials

7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Journal of Statistical Mechanics: Theory and Experiment
6 Journal of Physics A: Mathematical and Theoretical
5 Nuclear Physics. B
3 Letters in Mathematical Physics
2 Journal of High Energy Physics
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 SciPost Physics
all top 5

Fields

26 Quantum theory (81-XX)
22 Statistical mechanics, structure of matter (82-XX)
10 Nonassociative rings and algebras (17-XX)
2 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Partial differential equations (35-XX)
1 Dynamical systems and ergodic theory (37-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

32 Publications have been cited 685 times in 259 Documents Cited by ▼ Year ▼
Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz. Zbl 1288.82020
Belliard, Samuel; Crampé, Nicolas
70
2013
The half-infinite XXZ chain in Onsager’s approach. Zbl 1282.82010
Baseilhac, P.; Belliard, S.
59
2013
Generalized \(q\)-Onsager algebras and boundary affine Toda field theories. Zbl 1197.81147
Baseilhac, Pascal; Belliard, Samuel
57
2010
Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases. Zbl 1328.82009
Belliard, S.; Pimenta, R. A.
52
2015
Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases. Zbl 1328.82017
Belliard, Samuel
46
2015
Modified algebraic Bethe ansatz for XXZ chain on the segment. III. Proof. Zbl 1331.82011
Avan, J.; Belliard, S.; Grosjean, N.; Pimenta, R. A.
43
2015
The nested Bethe ansatz for ‘all’ closed SPIN chains. Zbl 1142.82326
Belliard, S.; Ragoucy, E.
40
2008
The algebraic Bethe ansatz for scalar products in \(SU(3)\)-invariant integrable models. Zbl 1456.82228
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A.
33
2012
Algebraic Bethe ansatz for open XXX model with triangular boundary matrices. Zbl 1280.82003
Belliard, Samuel; Crampé, Nicolas; Ragoucy, Eric
31
2013
Highest coefficient of scalar products in \(SU(3)\)-invariant integrable models. Zbl 1456.81225
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A.
20
2012
Form factors in \(\mathrm{SU}(3)\)-invariant integrable models. Zbl 1456.82703
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A.
20
2013
The central extension of the reflection equations and an analog of Miki’s formula. Zbl 1228.81187
Baseilhac, P.; Belliard, S.
19
2011
The nested Bethe ansatz for ‘all’ open spin chains with diagonal boundary conditions. Zbl 1165.82008
Belliard, S.; Ragoucy, E.
18
2009
Bethe vectors of \(\mathrm{GL}(3)\)-invariant integrable models. Zbl 1445.81030
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A.
18
2013
Bethe vectors of quantum integrable models with \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix. Zbl 1287.81061
Belliard, Samuel; Pakuliak, Stanislav; Ragoucy, Eric; Slavnov, Nikita A.
16
2013
Coideal algebras from twisted Manin triples. Zbl 1245.81059
Belliard, S.; Crampé, N.
15
2012
Why scalar products in the algebraic Bethe ansatz have determinant representation. Zbl 1427.81053
Belliard, S.; Slavnov, N. A.
15
2019
Slavnov and Gaudin-Korepin formulas for models without \({\mathrm U}(1)\) symmetry: the twisted XXX chain. Zbl 1334.82027
Belliard, Samuel; Pimenta, Rodrigo A.
14
2015
FRT presentation of the Onsager algebras. Zbl 1398.81128
Baseilhac, Pascal; Belliard, Samuel; Crampé, Nicolas
13
2018
Non-abelian symmetries of the half-infinite XXZ spin chain. Zbl 1356.82007
Baseilhac, Pascal; Belliard, Samuel
12
2017
Modified algebraic Bethe ansatz: twisted XXX case. Zbl 1392.82020
Belliard, Samuel; Slavnov, Nikita A.; Vallet, Benoit
11
2018
Slavnov and Gaudin-Korepin formulas for models without \(U(1)\) symmetry: The XXX chain on the segment. Zbl 1342.82019
Belliard, S.; Pimenta, R. A.
10
2016
Universal Bethe ansatz and scalar products of Bethe vectors. Zbl 1220.81142
Belliard, Samuel; Pakuliak, Stanislav; Ragoucy, Eric
10
2010
Generalized \(q\)-Onsager algebras and dynamical \(K\)-matrices. Zbl 1242.81101
Belliard, S.; Fomin, V.
7
2012
Scalar products in twisted XXX spin chain. Determinant representation. Zbl 1428.82020
Belliard, Samuel; Slavnov, Nikita A.
7
2019
Drinfeld J presentation of twisted Yangians. Zbl 1360.81201
Belliard, Samuel; Regelskis, Vidas
6
2017
A note on \(\mathfrak{g}{\mathfrak{l}}_2 \)-invariant Bethe vectors. Zbl 1390.81253
Belliard, S.; Slavnov, N. A.
6
2018
Scalar product of twisted XXX modified Bethe vectors. Zbl 1457.82014
Belliard, S.; Slavnov, N. A.; Vallet, B.
6
2018
Scalar product for the XXZ spin chain with general integrable boundaries. Zbl 1519.82022
Belliard, Samuel; Pimenta, Rodrigo A.; Slavnov, Nikita A.
5
2021
Overlap between usual and modified Bethe vectors. Zbl 1482.82046
Belliard, S.; Slavnov, N. A.
4
2021
The scattering matrix for a general \(gl(2)\) spin chain. Zbl 1456.82093
Belliard, S.; Crampé, N.; Ragoucy, É.
1
2009
Modified rational six vertex model on the rectangular lattice. Zbl 07908487
Belliard, Samuel; Pimenta, Rodrigo Alves; Slavnov, Nikita A.
1
2024
Modified rational six vertex model on the rectangular lattice. Zbl 07908487
Belliard, Samuel; Pimenta, Rodrigo Alves; Slavnov, Nikita A.
1
2024
Scalar product for the XXZ spin chain with general integrable boundaries. Zbl 1519.82022
Belliard, Samuel; Pimenta, Rodrigo A.; Slavnov, Nikita A.
5
2021
Overlap between usual and modified Bethe vectors. Zbl 1482.82046
Belliard, S.; Slavnov, N. A.
4
2021
Why scalar products in the algebraic Bethe ansatz have determinant representation. Zbl 1427.81053
Belliard, S.; Slavnov, N. A.
15
2019
Scalar products in twisted XXX spin chain. Determinant representation. Zbl 1428.82020
Belliard, Samuel; Slavnov, Nikita A.
7
2019
FRT presentation of the Onsager algebras. Zbl 1398.81128
Baseilhac, Pascal; Belliard, Samuel; Crampé, Nicolas
13
2018
Modified algebraic Bethe ansatz: twisted XXX case. Zbl 1392.82020
Belliard, Samuel; Slavnov, Nikita A.; Vallet, Benoit
11
2018
A note on \(\mathfrak{g}{\mathfrak{l}}_2 \)-invariant Bethe vectors. Zbl 1390.81253
Belliard, S.; Slavnov, N. A.
6
2018
Scalar product of twisted XXX modified Bethe vectors. Zbl 1457.82014
Belliard, S.; Slavnov, N. A.; Vallet, B.
6
2018
Non-abelian symmetries of the half-infinite XXZ spin chain. Zbl 1356.82007
Baseilhac, Pascal; Belliard, Samuel
12
2017
Drinfeld J presentation of twisted Yangians. Zbl 1360.81201
Belliard, Samuel; Regelskis, Vidas
6
2017
Slavnov and Gaudin-Korepin formulas for models without \(U(1)\) symmetry: The XXX chain on the segment. Zbl 1342.82019
Belliard, S.; Pimenta, R. A.
10
2016
Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases. Zbl 1328.82009
Belliard, S.; Pimenta, R. A.
52
2015
Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases. Zbl 1328.82017
Belliard, Samuel
46
2015
Modified algebraic Bethe ansatz for XXZ chain on the segment. III. Proof. Zbl 1331.82011
Avan, J.; Belliard, S.; Grosjean, N.; Pimenta, R. A.
43
2015
Slavnov and Gaudin-Korepin formulas for models without \({\mathrm U}(1)\) symmetry: the twisted XXX chain. Zbl 1334.82027
Belliard, Samuel; Pimenta, Rodrigo A.
14
2015
Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz. Zbl 1288.82020
Belliard, Samuel; Crampé, Nicolas
70
2013
The half-infinite XXZ chain in Onsager’s approach. Zbl 1282.82010
Baseilhac, P.; Belliard, S.
59
2013
Algebraic Bethe ansatz for open XXX model with triangular boundary matrices. Zbl 1280.82003
Belliard, Samuel; Crampé, Nicolas; Ragoucy, Eric
31
2013
Form factors in \(\mathrm{SU}(3)\)-invariant integrable models. Zbl 1456.82703
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A.
20
2013
Bethe vectors of \(\mathrm{GL}(3)\)-invariant integrable models. Zbl 1445.81030
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A.
18
2013
Bethe vectors of quantum integrable models with \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix. Zbl 1287.81061
Belliard, Samuel; Pakuliak, Stanislav; Ragoucy, Eric; Slavnov, Nikita A.
16
2013
The algebraic Bethe ansatz for scalar products in \(SU(3)\)-invariant integrable models. Zbl 1456.82228
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A.
33
2012
Highest coefficient of scalar products in \(SU(3)\)-invariant integrable models. Zbl 1456.81225
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A.
20
2012
Coideal algebras from twisted Manin triples. Zbl 1245.81059
Belliard, S.; Crampé, N.
15
2012
Generalized \(q\)-Onsager algebras and dynamical \(K\)-matrices. Zbl 1242.81101
Belliard, S.; Fomin, V.
7
2012
The central extension of the reflection equations and an analog of Miki’s formula. Zbl 1228.81187
Baseilhac, P.; Belliard, S.
19
2011
Generalized \(q\)-Onsager algebras and boundary affine Toda field theories. Zbl 1197.81147
Baseilhac, Pascal; Belliard, Samuel
57
2010
Universal Bethe ansatz and scalar products of Bethe vectors. Zbl 1220.81142
Belliard, Samuel; Pakuliak, Stanislav; Ragoucy, Eric
10
2010
The nested Bethe ansatz for ‘all’ open spin chains with diagonal boundary conditions. Zbl 1165.82008
Belliard, S.; Ragoucy, E.
18
2009
The scattering matrix for a general \(gl(2)\) spin chain. Zbl 1456.82093
Belliard, S.; Crampé, N.; Ragoucy, É.
1
2009
The nested Bethe ansatz for ‘all’ closed SPIN chains. Zbl 1142.82326
Belliard, S.; Ragoucy, E.
40
2008
all cited Publications top 5 cited Publications
all top 5

Cited by 210 Authors

31 Slavnov, Nikita A.
26 Cao, Junpeng
25 Ragoucy, Eric
25 Yang, Wenli
22 Belliard, Samuel
19 Terwilliger, Paul M.
18 Crampé, Nicolas
17 Baseilhac, Pascal
17 Shi, Kangjie
16 Pakuliak, Stanislav Z.
15 Hao, Kun
15 Li, Guangliang
13 Wang, Yupeng
10 Regelskis, Vidas
9 Nepomechie, Rafael I.
8 Niccoli, Giuliano
8 Tsuboi, Zengo
8 Vinet, Luc
7 Sun, Pei
7 Yang, Tao
6 Lu, Ming
6 Pimenta, Rodrigo A.
6 Qiao, Yi
6 Terras, Véronique
6 Torrielli, Alessandro
6 Wang, Weiqiang
6 Xue, Panpan
6 Zotov, Andrei V.
5 Kojima, Takeo
5 Lima-Santos, Antonio
5 Maillet, Jean-Michel
5 Vlaar, Bart
5 Wen, Fakai
5 Xu, Xiaotian
5 Zabrodin, Anton V.
4 Bernard, Pierre-Antoine
4 Frassek, Rouven
4 Gainutdinov, Azat M.
4 Gromov, Nikolay A.
4 Guay, Nicolas
4 Kozlowski, Karol Kajetan
4 Pimenta, Rodrigo Alves
4 Salom, Igor
4 Vanicat, Matthieu
4 Zhang, Weinan
4 Zhedanov, Alexei S.
3 Caux, Jean-Sébastien
3 Galleas, Wellington
3 Gerrard, Allan
3 Göhmann, Frank
3 Karaiskos, Nikos
3 Kuniba, Atsuo
3 Levkovich-Maslyuk, Fedor
3 Liashyk, A. N.
3 Manojlović, Nenad
3 Mukhin, Evgeny
3 Nomura, Kazumasa
3 Ryan, Paul M.
3 Saleur, Hubert
3 Vu, Thi Thao
3 Wheeler, Michael
3 Xin, Zhirong
3 Zhang, Xin
2 António, N. Cirilo
2 Avan, Jean
2 Bergeron, Geoffroy
2 Bielli, Daniele
2 Chen, Xinhong
2 Chernyak, Dmitry
2 de Leeuw, Marius
2 Doikou, Anastasia
2 Foda, Omar
2 Fontanella, Andrea
2 Gautam, Vaibhav
2 Gorskiĭ, Aleksandr Sergeevich
2 Hutsalyuk, Arthur
2 Jacobsen, Jesper Lykke
2 Kolb, Stefan
2 Li, Yuan-Yuan
2 Lu, Kang
2 Molev, Alexander I.
2 Motegi, Kohei
2 Okado, Masato
2 Pozsgay, Balázs
2 Skrypnyk, Taras Volodymyrovych
2 Stokman, Jasper V.
2 Suzuki, Junji
2 Vallet, Benoit
2 Vasil’ev, Mikhail Andreevich
2 Wendlandt, Curtis
2 Weston, Robert A.
2 Yoneyama, Akihito
1 Ahn, Changrim
1 Appel, Andrea
1 Babenko, Constantin
1 Bao, Jiakang
1 Barnes, Edwin
1 Berthiaume, Frédéric
1 Bittleston, Roland
1 Burdík, Čestmír
...and 110 more Authors
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Cited in 37 Serials

53 Nuclear Physics. B
37 Journal of Physics A: Mathematical and Theoretical
33 Journal of Statistical Mechanics: Theory and Experiment
32 Journal of High Energy Physics
17 Journal of Mathematical Physics
13 Letters in Mathematical Physics
12 Theoretical and Mathematical Physics
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Communications in Mathematical Physics
4 Journal of Statistical Physics
3 Annals of Physics
3 ELA. The Electronic Journal of Linear Algebra
3 Ars Mathematica Contemporanea
3 SciPost Physics
2 Journal of Geometry and Physics
2 Advances in Mathematics
2 Linear Algebra and its Applications
2 Transformation Groups
2 Representation Theory
1 Communications in Algebra
1 International Journal of Theoretical Physics
1 Physics Letters. A
1 Physics Letters. B
1 Reviews in Mathematical Physics
1 Bulletin of the London Mathematical Society
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series A
1 Journal of Pure and Applied Algebra
1 Mathematische Zeitschrift
1 Transactions of the American Mathematical Society
1 Selecta Mathematica. New Series
1 Journal of Mathematical Chemistry
1 The Ramanujan Journal
1 Algebras and Representation Theory
1 Annales Henri Poincaré
1 Journal of Combinatorial Algebra
all top 5

Cited in 32 Fields

168 Quantum theory (81-XX)
163 Statistical mechanics, structure of matter (82-XX)
82 Nonassociative rings and algebras (17-XX)
40 Associative rings and algebras (16-XX)
17 Special functions (33-XX)
10 Combinatorics (05-XX)
10 Group theory and generalizations (20-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Algebraic geometry (14-XX)
6 Partial differential equations (35-XX)
5 Topological groups, Lie groups (22-XX)
4 Probability theory and stochastic processes (60-XX)
4 Relativity and gravitational theory (83-XX)
3 Operator theory (47-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Algebraic topology (55-XX)
2 Mechanics of particles and systems (70-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Functional analysis (46-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year