Publications, preprints :
[53]
Weyl group symmetry of q-characters
(with E. Frenkel) :
PDF
, Preprint
arXiv:2211.09779
.
[52]
Representations of shifted quantum groups (or quantized Coulomb branches) and Baxter polynomials
:
PDF
, in
Oberwolfach Reports
18 (2021), 2827--2891
.
[51]
3-facets of R-matrices: stable maps, intertwiners and transfer-matrices
:
PDF
, in
Oberwolfach Reports
18 (2021), 2791--2825
.
[50]
Folded quantum integrable models and deformed W-algebras
(with E. Frenkel and N. Reshetikhin) :
PDF
,
Letters in Mathematical Physics
112 (2022), no. 4, 80
.
[49]
Langlands duality, shifted quantum groups and cluster algebras
:
PDF
, in
Oberwolfach Reports
18 (2021), 1087--1148.
.
[48]
Shifted Yangians and polynomial R-matrices
(with H. Zhang) :
PDF
, to appear in
Publications of the Research Institute for Mathematical Sciences
. .
[47]
Isomorphisms among quantum Grothendieck rings and propagation of positivity
(with R. Fujita, S-J. Oh and H. Oya) :
PDF
,
Crelle - Journal für die reine und angewandte Mathematik
785 (2022), 117--185
.
[46]
Representations of shifted quantum affine algebras
:
PDF
, to appear in
International Mathematical Research Notices
.
[45]
Toroidal Grothendieck rings and cluster algebras
(avec L. Fedele) :
PDF
,
Mathematische Zeitschrift
300 (2022), no. 1, 377--420.
.
[44]
Quantum periodicity and Kirillov-Reshetikhin modules
:
PDF
, in
Progress in Mathematics
340 (2021)
, vol. in Honor of N. Reshetikhin.
[43]
Stable maps, Q-operators and category O
:
PDF
,
Representation Theory
26 (2022), 179--210
.
[42]
Quantum affine algebras and cluster algebras
(with B. Leclerc) :
PDF
, in
Progress in Mathematics
337 (2021)
, vol. in Honor of V. Chari.
[41]
Grothendieck ring isomorphims, cluster algebras and Kazhdan-Lusztig polynomials
:
PDF
, in
Oberwolfach Reports
15 (2018), 3081--3146
.
[40]
Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm
(with H. Oya) :
PDF
,
Advances in Mathematics
347 (2019), 192--272
.
[39]
Cyclicity and R-matrices
:
PDF
,
Selecta Mathematica
(N.S.) 25 (2019), no.2, 25:19
..
[38]
Spectra of quantum integrable systems and cluster algebras, Langlands duality and category O
:
PDF
, in
Oberwolfach Reports
14 (2017), 1281--1347
.
[37]
Advances in R-matrices and their applications (after Maulik-Okounkov, Kang-Kashiwara-Kim-Oh,...)
:
PDF
(
translation
) ,
Sém. Bourbaki 1129,
Astérisque
407 (2019), 297--331.
[36]
Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers
(with E. Frenkel) :
PDF
,
Communications in Mathematical Physics
362 (2018), no. 2, 361--414
.
[35]
Cluster algebras and category O for representations of Borel subalgebras of quantum affine algebras
(with B. Leclerc) :
PDF
,
Algebra and Number Theory
10 (2016), no. 9, 2015--2052
.
[34]
Asymptotical representations, spectra of quantum integrable systems and cluster algebras
:
PDF
, in
Oberwolfach Reports
12 (2015), 1385--1447
.
[33]
Polynômes, représentations et systèmes quantiques
:
PDF
,
Images des Mathématiques
, CNRS (2014).
[32]
Spectre des systèmes intégrables quantiques représentations linéaires
:
PDF
,
Gazette des Mathématiciens
141 (2014), 34--47.
[31]
Schur positivity and Kirillov-Reshetikhin modules
(with G. Fourier) :
PDF
, Special issue of
SIGMA
"New Directions in Lie Theory" 10 (2014), 058
[30]
Baxter's Relations and Spectra of Quantum Integrable Models
(with E. Frenkel) :
PDF
,
Duke Mathematical Journal
164 (2015), no. 12, 2407--2460.
[29]
A cluster algebra approach to q-characters of Kirillov-Reshetikhin modules
(with B. Leclerc) :
PDF
,
Journal of the European Mathematical Society
18 (2016), no. 5, 1113--1159
[28]
Monoidal categorifications of cluster algebras of type A and D
(with B. Leclerc) :
PDF
, in
Symmetries, Integrable systems and Representations
, Springer Proceedings in Mathematics and Statistics 40 (2013), 175--193
[27]
Quantum Grothendieck rings and derived Hall algebras
(with B. Leclerc) :
PDF
,
Crelle - Journal für die reine und angewandte Mathematik
701 (2015), 77--126
[26]
Asymptotic representations and Drinfeld rational fractions
(with M. Jimbo) :
PDF
,
Compositio Mathematica
148 (2012), no. 5, 1593--1623
[25]
Introduction à la théorie de Galois
(with Y. Laszlo) : Book,
Editions de l'Ecole polytechnique
(2012)
[24]
Simple tensor products of representations of quantum affine algebras
:
PDF
,
in
Oberwolfach Reports
7 (2010), no. 1, 799--882
[23]
The algebra $U_q(\hat{sl}_\infty)$ and applications
:
PDF
,
De Concini's issue of Journal of Algebra
329 (2011), no. 1, 147--162
[22]
Simple tensor products
:
PDF
,
Inventiones Mathematicae
181 (2010), no. 3, 649--675
[21]
Autour des représentations des algèbres quantiques : géométrie, dualité de Langlands et catégorification des algèbres cluster
:
PDF
,
Habilitation à diriger des recherches Université Paris VII
(2009)
[20]
Cluster algebras and quantum affine algebras
(with B. Leclerc) :
PDF
,
Duke Mathematical Journal
154 (2010), no. 2, 265--341
[19]
Langlands duality for finite-dimensional representations of quantum affine algebras
(with E. Frenkel) :
PDF
,
Letters in Mathematical Physics
96 (2011), no. 1-3, 217--261
[18]
Double affine Lie algebras and finite groups
(with N. Guay and S. Loktev) :
PDF
,
Pacific Journal of Mathematics
243 (2009), no. 1, 1--41
[17]
Geometry of the analytic loop group
(with C. De Concini and N. Reshetikhin) :
PDF
,
Advances in Mathematics
238 (2013), 290--321
[16]
Beyond Kirillov-Reshetikhin modules
(with V. Chari) :
PDF
,
Contemporary Mathematics
506 (2010), 49--81
[15]
Langlands duality for representations of quantum groups
(with E. Frenkel) :
PDF
,
Mathematische Annalen
349 (2011), no. 3, 705--746
[14]
Quantum toroidal algebras and their representations
:
PDF
,
Selecta Mathematica
(N.S.) 14 (2009), no. 3-4, 701--725
[13]
Kirillov-Reshetikhin conjecture : the general case
:
PDF
,
International Mathematics Research Notices
2010, no. 1, 149--193
[12]
On minimal affinizations of representations of quantum groups
:
PDF
,
Communications in Mathematical Physics
277 (2007), no. 1, 221--259
[11]
Smallness problem for quantum affine algebras and quiver varieties
:
PDF
,
Annales Scientifiques de l'Ecole Normale Supérieure
(4) 41 (2008) , no. 2, 271-306
[10]
Level 0 monomial crystals
(with H. Nakajima) :
PDF
,
Lusztig's issue of Nagoya Mathematical Journal
184 (2006), 85--153
[9]
Drinfeld coproduct, quantum fusion tensor category and applications
:
PDF
,
Proceedings of the London Mathematical Society
(3) 95 (2007), no. 3, 567--608
[8]
An Introduction to Affine Kac-Moody Algebras
:
PDF
,
Ctqm Master Class Series
2 (2006), 1--20
[7]
The Kirillov-Reshetikhin conjecture and solutions of T-systems
:
PDF
,
Crelle - Journal für die reine und angewandte Mathematik
596 (2006), 63--87
[6]
Représentations des algèbres affinisées quantiques : q,t-caractères et produit de fusion.
:
PDF
,
Ph.D thesis Université Paris VI
(2004)
[5]
Monomials of q and q,t-characters for non simply-laced quantum affinizations
:
PDF
,
Mathematische Zeitschrift
250 (2005), no. 2, 443--473
[4]
Representations of Quantum Affinizations and Fusion Product
:
PDF
,
Transformation Groups
10 (2005), no. 2, 163--200
[3]
The t-Analogs of q-Characters at Roots of Unity for Quantum Affine Algebras and Beyond
:
PDF
,
Journal of Algebra
279 (2004), no. 2 , 514--557
[2]
Algebraic Approach to q,t-Characters
:
PDF
,
Advances in Mathematics
187 (2004), no. 1, 1--52
[1]
t-analogues des opérateurs d'écrantage associés aux q-caractères
:
PDF
,
International Mathematics Research Notices
2003, no. 8, 451--475