Fusion and specialization for type ADE shuffle algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914211318202368 |
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| author | Neguţ, Andrei Tsymbaliuk, Alexander |
| author_facet | Neguţ, Andrei Tsymbaliuk, Alexander |
| contents | Root vectors in quantum groups (of finite type) generalize to fused currents in quantum loop groups ([5]). In the present paper, we construct fused currents as duals to specialization maps of the corresponding shuffle algebras ([7,8,9]) in types ADE. Both root vectors and fused currents depend on a convex order of the positive roots, and the choice we make in the present paper is that of the Auslander-Reiten order ([24]) corresponding to an orientation of the type ADE Dynkin diagram. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02411 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fusion and specialization for type ADE shuffle algebras Neguţ, Andrei Tsymbaliuk, Alexander Representation Theory Quantum Algebra 17B37 Root vectors in quantum groups (of finite type) generalize to fused currents in quantum loop groups ([5]). In the present paper, we construct fused currents as duals to specialization maps of the corresponding shuffle algebras ([7,8,9]) in types ADE. Both root vectors and fused currents depend on a convex order of the positive roots, and the choice we make in the present paper is that of the Auslander-Reiten order ([24]) corresponding to an orientation of the type ADE Dynkin diagram. |
| title | Fusion and specialization for type ADE shuffle algebras |
| topic | Representation Theory Quantum Algebra 17B37 |
| url | https://arxiv.org/abs/2408.02411 |