Minimal Affinizations of Representations of Quantum Groups: the simply--laced case

Abstract

We continue our study of minimal affinizations for algebras of type D, E.

25 pages

References in corpus (4)

• Braid Group Action and Quantum Affine Algebras
• Quantum Affine Algebras and their Representations
• Minimal Affinizations of Representations of Quantum Groups: the simply--laced case
• Minimal Affinizations of Representations of Quantum Groups: the rank 2 case

Cited by in corpus (26)

• T-systems and Y-systems in integrable systems
• Cluster algebras and quantum affine algebras
• Existence of Kirillov-Reshetikhin crystals for nonexceptional types
• On minimal affinizations of representations of quantum groups
• Minimal Affinizations of Representations of Quantum Groups: the simply--laced case
• Path description of type B q-characters
• Simple tensor products
• Extended T-systems
• Minimal affinizations as projective objects
• Graded Limits of Minimal Affinizations in Type D
• Rigged configuration bijection and proof of the $X=M$ conjecture for nonexceptional affine types
• M-systems and Cluster algebras
• On the X=M=K Conjecture
• Graded limits of minimal affinizations over the quantum loop algebra of type $G_2$
• Extended $T$-System of Type $G_2$
• Simplicity of tensor products of Kirillov--Reshetikhin modules: nonexceptional affine and G types
• Virtualization map for the Littelmann path model
• Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes
• On the extended T-system of type $C_3$
• String diagrams and categorification
• Dorey's Rule and the q-Characters of Simply-Laced Quantum Affine Algebras
• Uniform description of the rigged configuration bijection
• On Tensor Products of a Minimal Affinization with an Extreme Kirillov-Reshetikhin Module for type A
• Representations of Quantum Affine Algebras in their $R$-Matrix Realization
• Tensor products and $q$-characters of HL-modules and monoidal categorifications
• Finite dimensional modules over quantum toroidal algebras