Extended T-systems

Abstract

We use the theory of q-characters to establish a number of short exact sequences in the category of finite-dimensional representations of the quantum affine groups of types A and B. That allows us to introduce a set of 3-term recurrence relations which contains the celebrated T-system as a special case.

36 pages, latex; v2: version to appear in Selecta Mathematica

References in corpus (2)

• T-systems and Y-systems in integrable systems
• On minimal affinizations of representations of quantum groups

Cited by in corpus (11)

• Path description of type B q-characters
• Jacobi-Trudi identity and Drinfeld functor for super Yangian
• M-systems and Cluster algebras
• A geometric $q$-character formula for snake modules
• On the primality of totally ordered $q$-factorization graphs
• On the extended T-system of type $C_3$
• On Tensor Products of a Minimal Affinization with an Extreme Kirillov-Reshetikhin Module for type A
• Cluster algebra structure on the finite dimensional representations of $U_q(\widehat{A_3})$ for $l$=2
• Reality determining subgraphs and strongly real modules
• On the properties of the density matrix of the ${\mathfrak{sl}}_{n+1}$-invariant model
• A path description for $\epsilon$-characters of representations of type $A$ restricted quantum loop algebras at roots of unity