Classification of irreducible bounded weight modules over the derivation Lie algebras of quantum tori
Genqiang Liu, Kaiming Zhao
TL;DR
This paper provides a comprehensive classification of irreducible bounded weight modules over derivation Lie algebras associated with rational quantum tori, advancing understanding in quantum algebra representations.
Contribution
It offers the first complete classification of these modules, filling a gap in the representation theory of derivation Lie algebras of quantum tori.
Findings
Complete classification of irreducible bounded weight modules achieved
New structure insights into derivation Lie algebras of quantum tori
Framework established for future representation theory research
Abstract
In this paper, we give a complete classification of irreducible bounded weight modules over the derivation Lie algebras of rational quantum tori
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