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On multiplicity-free weight modules over quantum affine algebras
- Publication Year :
- 2023
-
Abstract
- In this note, our goal is to construct and study the multiplicity-free weight modules of quantum affine algebras. For this, we introduce the notion of shiftability condition with respect to a symmetrizable generalized Cartan matrix, and investigate its applications on the study of quantum affine algebra structures and the realizations of the infinite-dimensional multiplicity-free weight modules. We also compute the highest $\ell$-weights of the infinite-dimensional multiplicity-free weight modules as highest $\ell$-weight modules.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2302.13686
- Document Type :
- Working Paper