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## Hernandez, David

Compute Distance To:
 Author ID: hernandez.david Published as: Hernandez, David; Hernández, D. Homepage: http://webusers.imj-prg.fr/~david.hernandez/ External Links: MGP · Wikidata
 Documents Indexed: 33 Publications since 2003, including 1 Book Reviewing Activity: 5 Reviews
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#### Co-Authors

 13 single-authored 5 Leclerc, Bernard 4 Frenkel, Edward V. 1 Chari, Vyjayanthi 1 De Concini, Corrado 1 Fourier, Ghislain 1 Guay, Nicolas 1 Jimbo, Michio 1 Laszlo, Yves 1 Loktev, Sergey A. 1 Nakajima, Hiraku 1 Reshetikhin, Nikolai Yu.
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#### Serials

 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 IMRN. International Mathematics Research Notices 1 Letters in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Selecta Mathematica. New Series 1 Transformation Groups 1 Journal of the European Mathematical Society (JEMS) 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Algebra & Number Theory
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#### Fields

 27 Nonassociative rings and algebras (17-XX) 7 Quantum theory (81-XX) 4 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH

29 Publications have been cited 524 times in 222 Documents Cited by Year
Cluster algebras and quantum affine algebras. Zbl 1284.17010
Hernandez, David; Leclerc, Bernard
2010
The Kirillov-Reshetikhin conjecture and solutions of $$T$$-systems. Zbl 1160.17010
Hernandez, David
2006
Kirillov-Reshetikhin conjecture: the general case. Zbl 1242.17017
Hernandez, David
2010
Representations of quantum affinizations and fusion product. Zbl 1102.17009
Hernandez, David
2005
Baxter’s relations and spectra of quantum integrable models. Zbl 1332.82022
Frenkel, Edward; Hernandez, David
2015
Asymptotic representations and Drinfeld rational fractions. Zbl 1266.17010
Hernandez, David; Jimbo, Michio
2012
A cluster algebra approach to $$q$$-characters of Kirillov-Reshetikhin modules. Zbl 1405.17028
Hernandez, David; Leclerc, Bernard
2016
Quantum Grothendieck rings and derived Hall algebras. Zbl 1315.17011
Hernandez, David; Leclerc, Bernard
2015
Beyond Kirillov-Reshetikhin modules. Zbl 1277.17009
Chari, Vyjayanthi; Hernandez, David
2010
On minimal affinizations of representations of quantum groups. Zbl 1141.17011
Hernandez, David
2007
Drinfeld coproduct, quantum fusion tensor category and applications. Zbl 1133.17010
Hernandez, David
2007
Algebraic approach to $$q,t$$-characters. Zbl 1098.17009
Hernandez, David
2004
Level 0 monomial crystals. Zbl 1201.17008
Hernandez, David; Nakajima, Hiraku
2006
Simple tensor products. Zbl 1221.17015
Hernandez, David
2010
Quantum toroidal algebras and their representations. Zbl 1222.17017
Hernandez, David
2009
Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers. Zbl 1397.81060
Frenkel, Edward; Hernandez, David
2018
Cluster algebras and category $$\mathcal O$$ for representations of Borel subalgebras of quantum affine algebras. Zbl 1390.17025
Hernandez, David; Leclerc, Bernard
2016
Monoidal categorifications of cluster algebras of type $$A$$ and $$D$$. Zbl 1317.13052
Hernandez, David; Leclerc, Bernard
2013
Smallness problem for quantum affine algebras and quiver varieties. Zbl 1189.17014
Hernandez, David
2008
Monomials of $$q$$ and $$q,t$$-characters for non simply-laced quantum affinizations. Zbl 1098.17010
Hernandez, David
2005
Langlands duality for finite-dimensional representations of quantum affine algebras. Zbl 1222.17014
Frenkel, Edward; Hernandez, David
2011
Langlands duality for representations of quantum groups. Zbl 1219.17007
Frenkel, Edward; Hernandez, David
2011
The $$t$$-analogs of $$q$$-characters at roots of unity for quantum affine algebras and beyond. Zbl 1127.17015
Hernandez, David
2004
Schur positivity and Kirillov-Reshetikhin modules. Zbl 1372.17018
Fourier, Ghislain; Hernandez, David
2014
The algebra $$U_q(\widehat{sl}_\infty)$$ and applications. Zbl 1278.17017
Hernandez, David
2011
$$t$$-analogues of screening operators associated to $$q$$-characters. Zbl 1098.17008
Hernandez, David
2003
Double affine Lie algebras and finite groups. Zbl 1235.17017
Guay, Nicolas; Hernandez, David; Loktev, Sergey
2009
Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm. Zbl 1448.17019
Hernandez, David; Oya, Hironori
2019
Cyclicity and $$R$$-matrices. Zbl 07031140
Hernandez, David
2019
Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm. Zbl 1448.17019
Hernandez, David; Oya, Hironori
2019
Cyclicity and $$R$$-matrices. Zbl 07031140
Hernandez, David
2019
Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers. Zbl 1397.81060
Frenkel, Edward; Hernandez, David
2018
A cluster algebra approach to $$q$$-characters of Kirillov-Reshetikhin modules. Zbl 1405.17028
Hernandez, David; Leclerc, Bernard
2016
Cluster algebras and category $$\mathcal O$$ for representations of Borel subalgebras of quantum affine algebras. Zbl 1390.17025
Hernandez, David; Leclerc, Bernard
2016
Baxter’s relations and spectra of quantum integrable models. Zbl 1332.82022
Frenkel, Edward; Hernandez, David
2015
Quantum Grothendieck rings and derived Hall algebras. Zbl 1315.17011
Hernandez, David; Leclerc, Bernard
2015
Schur positivity and Kirillov-Reshetikhin modules. Zbl 1372.17018
Fourier, Ghislain; Hernandez, David
2014
Monoidal categorifications of cluster algebras of type $$A$$ and $$D$$. Zbl 1317.13052
Hernandez, David; Leclerc, Bernard
2013
Asymptotic representations and Drinfeld rational fractions. Zbl 1266.17010
Hernandez, David; Jimbo, Michio
2012
Langlands duality for finite-dimensional representations of quantum affine algebras. Zbl 1222.17014
Frenkel, Edward; Hernandez, David
2011
Langlands duality for representations of quantum groups. Zbl 1219.17007
Frenkel, Edward; Hernandez, David
2011
The algebra $$U_q(\widehat{sl}_\infty)$$ and applications. Zbl 1278.17017
Hernandez, David
2011
Cluster algebras and quantum affine algebras. Zbl 1284.17010
Hernandez, David; Leclerc, Bernard
2010
Kirillov-Reshetikhin conjecture: the general case. Zbl 1242.17017
Hernandez, David
2010
Beyond Kirillov-Reshetikhin modules. Zbl 1277.17009
Chari, Vyjayanthi; Hernandez, David
2010
Simple tensor products. Zbl 1221.17015
Hernandez, David
2010
Quantum toroidal algebras and their representations. Zbl 1222.17017
Hernandez, David
2009
Double affine Lie algebras and finite groups. Zbl 1235.17017
Guay, Nicolas; Hernandez, David; Loktev, Sergey
2009
Smallness problem for quantum affine algebras and quiver varieties. Zbl 1189.17014
Hernandez, David
2008
On minimal affinizations of representations of quantum groups. Zbl 1141.17011
Hernandez, David
2007
Drinfeld coproduct, quantum fusion tensor category and applications. Zbl 1133.17010
Hernandez, David
2007
The Kirillov-Reshetikhin conjecture and solutions of $$T$$-systems. Zbl 1160.17010
Hernandez, David
2006
Level 0 monomial crystals. Zbl 1201.17008
Hernandez, David; Nakajima, Hiraku
2006
Representations of quantum affinizations and fusion product. Zbl 1102.17009
Hernandez, David
2005
Monomials of $$q$$ and $$q,t$$-characters for non simply-laced quantum affinizations. Zbl 1098.17010
Hernandez, David
2005
Algebraic approach to $$q,t$$-characters. Zbl 1098.17009
Hernandez, David
2004
The $$t$$-analogs of $$q$$-characters at roots of unity for quantum affine algebras and beyond. Zbl 1127.17015
Hernandez, David
2004
$$t$$-analogues of screening operators associated to $$q$$-characters. Zbl 1098.17008
Hernandez, David
2003
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#### Cited by 207 Authors

 17 Hernandez, David 14 Oh, Se-jin 13 Scrimshaw, Travis 11 Chari, Vyjayanthi 11 Kashiwara, Masaki 9 Kim, Myungho 9 Okado, Masato 8 Zhang, Huafeng 7 Schilling, Anne 6 Kang, Seok-Jin 6 Moura, Adriano A. 6 Mukhin, Evgeny 6 Schiffler, Ralf 5 Fourier, Ghislain 5 Leclerc, Bernard 5 Li, Jian Rong 5 Pestun, Vasily 5 Razumov, Alexander V. 5 Young, Charles A. S. 4 Brito, Matheus 4 Frenkel, Edward V. 4 Guay, Nicolas 4 Jing, Naihuan 4 Kuniba, Atsuo 4 Kwon, Jae-Hoon 4 Naoi, Katsuyuki 4 Nirov, Khazret S. 4 Qin, Fan 4 Tsymbaliuk, Aleksander 3 Boos, Hermann 3 Feĭgin, Boris L’vovich 3 Gautam, Sachin Singh 3 Göhmann, Frank 3 Gratz, Sira 3 Greenstein, Jacob 3 Inoue, Rei 3 Jimbo, Michio 3 Keller, Bernhard 3 Kimura, Taro 3 Klümper, Andreas 3 Lapid, Erez Moshe 3 Lee, Kyungyong 3 Manning, Nathan 3 Nakajima, Hiraku 3 Nakanishi, Tomoki 3 Salisbury, Ben 3 Toledano Laredo, Valerio 3 Tsuboi, Zengo 3 Venkatesh, R. 3 Williams, Lauren K. 3 Zeitlin, Anton M. 2 Bennett, Matthew R. 2 Cerulli Irelli, Giovanni 2 Chen, Fulin 2 Duan, Bing 2 Frassek, Rouven 2 Geiss, Christof 2 Grabowski, Jan Edward 2 Gunawan, Emily 2 Iyama, Osamu 2 Kedem, Rinat 2 Kimura, Yoshiyuki 2 Kodera, Ryosuke 2 Kong, Fei 2 Kus, Deniz 2 Lee, Chulhee 2 Mansuy, Mathieu 2 Masoero, Davide 2 Mínguez, Alberto 2 Miwa, Tetsuji 2 Nekrasov, Nikita Alexandrovich 2 Park, Euiyong 2 Pereira, Fernanda 2 Pylyavskyy, Pavlo 2 Raimondo, Andrea 2 Sakamoto, Reiho 2 Scherotzke, Sarah 2 Schröer, Jan 2 Suh, Uhi Rinn 2 Takebe, Takashi 2 Tan, Shao Bin 2 Xia, Limeng 2 Xiao, Jie 2 Xu, Fan 2 Young, Charles M. 2 Zhang, Honglian 1 Addabbo, Darlayne 1 Amiot, Claire 1 Ardonne, Eddy 1 Assem, Ibrahim 1 Bandlow, Jason 1 Baseilhac, Pascal 1 Baur, Karin 1 Bergvelt, Maarten J. 1 Bianchi, Angelo Calil 1 Biswal, Rekha 1 Bittmann, Léa 1 Bourgine, Jean-Emile 1 Canakci, Ilke 1 Cautis, Sabin ...and 107 more Authors
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#### Cited in 54 Serials

 21 Journal of Algebra 20 Advances in Mathematics 12 Communications in Mathematical Physics 12 Letters in Mathematical Physics 9 Mathematische Zeitschrift 9 Selecta Mathematica. New Series 9 Algebras and Representation Theory 7 Communications in Algebra 7 Compositio Mathematica 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Transactions of the American Mathematical Society 7 Journal of Algebraic Combinatorics 6 Nuclear Physics. B 6 Journal of Pure and Applied Algebra 6 Transformation Groups 6 Representation Theory 5 Journal of Mathematical Physics 5 Inventiones Mathematicae 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Geometry and Physics 4 Journal of High Energy Physics 3 Duke Mathematical Journal 3 Journal of the American Mathematical Society 3 Kyoto Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Bulletin of the American Mathematical Society. New Series 2 Annals of Mathematics. Second Series 2 Journal of the Institute of Mathematics of Jussieu 1 Theoretical and Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 European Journal of Combinatorics 1 Acta Applicandae Mathematicae 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Lie Theory 1 Documenta Mathematica 1 Séminaire Lotharingien de Combinatoire 1 International Journal of Theoretical and Applied Finance 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Algebra & Number Theory 1 Journal de l’École Polytechnique – Mathématiques 1 Winter Braids Lecture Notes
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#### Cited in 31 Fields

 166 Nonassociative rings and algebras (17-XX) 67 Quantum theory (81-XX) 52 Associative rings and algebras (16-XX) 45 Commutative algebra (13-XX) 35 Combinatorics (05-XX) 30 Group theory and generalizations (20-XX) 22 Algebraic geometry (14-XX) 20 Statistical mechanics, structure of matter (82-XX) 15 Category theory; homological algebra (18-XX) 11 Topological groups, Lie groups (22-XX) 4 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 $$K$$-theory (19-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Wikidata Timeline

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