3 citations · 5 across the 5 of their papers we have counts for
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The Kirillov-Reshetikhin conjecture and solutions of T-systems
David Hernandez
We prove the Kirillov-Reshetikhin conjecture for all untwisted quantum affine algebras : we prove that the character of Kirillov-Reshetikhin modules solve the Q-system and we give…
Monomials of q and q,t-characters for non simply-laced quantum affinizations
David Hernandez
Nakajima introduced the morphism of q,t-characters for finite dimensional representation of simply-laced quantum affine algebras : it is a t-deformation of the Frenkel-Reshetikhin'…
Representations of Quantum Affinizations and Fusion Product
David Hernandez
In this paper we study general quantum affinizations $\U_q(\hat{\Glie})$ of symmetrizable quantum Kac-Moody algebras and we develop their representation theory. We prove a triangul…
The t-Analogs of q-Characters at Roots of Unity for Quantum Affine Algebras and Beyound
David Hernandez
The q-characters were introduced by Frenkel and mReshetikhin to study finite dimensional representations of the untwisted quantum affine algebra for q generic. The -characters a…
Algebraic Approach to q,t-Characters
David Hernandez
Frenkel and Reshetikhin introduced q-characters to study finite dimensional representations of quantum affine algebras. In the simply laced case Nakajima defined deformations of q-…