On Tensor Products of a Minimal Affinization with an Extreme Kirillov-Reshetikhin Module for type A

Abstract

For a quantum affine algebra of type A, we describe the composition series of the tensor product of a general minimal affinization with a Kirillov-Resehtikhin module associated to an extreme node of the Dynkin diagram of the underlying simple Lie algebra.

Revised version after referees' suggestions. A few proofs have been simplified. To appear in Transformation Groups

References in corpus (2)

• On minimal affinizations of representations of quantum groups
• Simplicity of heads and socles of tensor products

Cited by in corpus (3)

• Three-vertex prime graphs and reality of trees
• Elliptic quantum groups and Baxter relations
• Non-Minimality of Certain Irregular Coherent Preminimal Affinizations