A new new coproduct on quantum loop algebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910104419303424 |
|---|---|
| author | Neguţ, Andrei |
| author_facet | Neguţ, Andrei |
| contents | Quantum loop algebras generalize $U_q(\widehat{\mathfrak{g}})$ for simple Lie algebras $\mathfrak{g}$, and they include examples such as quantum affinizations of Kac-Moody Lie algebras, K-theoretic Hall algebras of quivers, and BPS algebras for toric Calabi-Yau threefolds. In the present paper, we define a coproduct on general quantum loop algebras, which coincides with the Drinfeld-Jimbo coproduct in the particular case of $U_q(\widehat{\mathfrak{g}})$ . We investigate the consequences of our construction for the representation theory of quantum loop algebras, particularly for tensor products of modules and R-matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01130 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A new new coproduct on quantum loop algebras Neguţ, Andrei Representation Theory Quantum Algebra Quantum loop algebras generalize $U_q(\widehat{\mathfrak{g}})$ for simple Lie algebras $\mathfrak{g}$, and they include examples such as quantum affinizations of Kac-Moody Lie algebras, K-theoretic Hall algebras of quivers, and BPS algebras for toric Calabi-Yau threefolds. In the present paper, we define a coproduct on general quantum loop algebras, which coincides with the Drinfeld-Jimbo coproduct in the particular case of $U_q(\widehat{\mathfrak{g}})$ . We investigate the consequences of our construction for the representation theory of quantum loop algebras, particularly for tensor products of modules and R-matrices. |
| title | A new new coproduct on quantum loop algebras |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2602.01130 |