On Tensor Products of a Minimal Affinization with an Extreme Kirillov-Reshetikhin Module for type A
Adriano Moura, Fernanda Pereira
TL;DR
This paper analyzes the structure of tensor products involving minimal affinizations and Kirillov-Reshetikhin modules in type A quantum affine algebras, revealing their composition series.
Contribution
It provides a detailed description of the composition series for tensor products of minimal affinizations with extreme node Kirillov-Reshetikhin modules in type A.
Findings
Explicit composition series characterized for these tensor products
New insights into module structure in quantum affine algebra type A
Potential applications in representation theory and quantum integrable systems
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.
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