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

TL;DR

This paper investigates minimal affinizations of representations in quantum groups of simply-laced types, extending previous work on types D and E to deepen understanding of their structure.

Contribution

It advances the theory of minimal affinizations specifically for simply-laced quantum groups, providing new insights into their algebraic properties.

Findings

Extended classification of minimal affinizations for type D and E

Identified structural properties unique to simply-laced cases

Contributed to the broader understanding of quantum group representations

Abstract

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