On multiplicity-free weight modules over quantum affine algebras
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914728084766720 |
|---|---|
| author | Liu, Xingpeng |
| author_facet | Liu, Xingpeng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13686 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On multiplicity-free weight modules over quantum affine algebras Liu, Xingpeng Representation Theory Quantum Algebra 17B37, 17B10, 20G42, 16T20 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. |
| title | On multiplicity-free weight modules over quantum affine algebras |
| topic | Representation Theory Quantum Algebra 17B37, 17B10, 20G42, 16T20 |
| url | https://arxiv.org/abs/2302.13686 |