David Hernandez

Publications, preprints :

[24] Simple tensor products of representations of quantum affine algebras : PS , PDF , in Oberwolfach Reports 7 (2010), no. 1, 799--882

[23] The algebra $U_q(\hat{sl}_\infty)$ and applications : PS , PDF , To appear in De Concini's issue of Journal of Algebra

[22] Simple tensor products : PS , 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 : PS , PDF , Habilitation à diriger des recherches Université Paris VII (2009)

[20] Cluster algebras and quantum affine algebras (with B. Leclerc) : PS , PDF , Duke Mathematical Journal 154 (2010), no. 2, 265--341

[19] Langlands duality for finite-dimensional representations of quantum affine algebras (with E. Frenkel) : PS , PDF , To appear in Letters in Mathematical Physics

[18] Double affine Lie algebras and finite groups (with N. Guay and S. Loktev) : PS , 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) : PS , PDF , Preprint arXiv:0812.3540

[16] Beyond Kirillov-Reshetikhin modules (with V. Chari) : PS , PDF , Contemporary Mathematics 506 (2010), 49--81

[15] Langlands duality for representations of quantum groups (with E. Frenkel) : PS , PDF , To appear in Mathematische Annalen

[14] Quantum toroidal algebras and their representations : PS , PDF , Selecta Mathematica (N.S.) 14 (2009), no. 3-4, 701--725

[13] Kirillov-Reshetikhin conjecture : the general case : PS , PDF, International Mathematics Research Notices 2010, no. 1, 149--193

[12] On minimal affinizations of representations of quantum groups : PS , PDF , Communications in Mathematical Physics 277 (2007), no. 1, 221--259

[11] Smallness problem for quantum affine algebras and quiver varieties : PS , PDF , Annales Scientifiques de l'Ecole Normale Supérieure (4) 41 (2008) , no. 2, 271-306

[10] Level 0 monomial crystals (with H. Nakajima) : PS , PDF , Lusztig's issue of Nagoya Mathematical Journal 184 (2006), 85--153

[9] Drinfeld coproduct, quantum fusion tensor category and applications : PS , PDF , Proceedings of the London Mathematical Society (3) 95 (2007), no. 3, 567--608

[8] An Introduction to Affine Kac-Moody Algebras : PS , PDF , Ctqm Master Class Series 2 (2006), 1--20

[7] The Kirillov-Reshetikhin conjecture and solutions of T-systems : PS , 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. : PS , PDF , Ph.D thesis Université Paris VI (2004)

[5] Monomials of q and q,t-characters for non simply-laced quantum affinizations : PS , PDF , Mathematische Zeitschrift 250 (2005), no. 2, 443--473

[4] Representations of Quantum Affinizations and Fusion Product : PS , 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 : PS , PDF , Journal of Algebra 279 (2004), no. 2 , 514--557

[2] Algebraic Approach to q,t-Characters : PS , PDF , Advances in Mathematics 187 (2004), no. 1, 1--52

[1] t-analogues des opérateurs d'écrantage associés aux q-caractères : PS , PDF , International Mathematics Research Notices 2003, no. 8, 451--475