Intertwiners of Yangian representations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913993722953728 |
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| author | Kirschner, R. |
| author_facet | Kirschner, R. |
| contents | We construct type $g\ell(n)$ Yangian algebra evaluations of order $N$ embedded in Heisenberg algebras and consider their representations having a highest weight. These Yangian algebra presentations depend on $nN$ parameters. We construct explicitly intertwiners, which exist if the parameter arrays are related by permutations. The intertwiners are products of elementary adjacent parameter permutation operators derived from $R$ operators obeying Yang-Baxter relations. Permutation coefficients appear in the action on representations. Their dependence on the parameters allows to distinguish the types of representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11980 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Intertwiners of Yangian representations Kirschner, R. Quantum Algebra Mathematical Physics Representation Theory We construct type $g\ell(n)$ Yangian algebra evaluations of order $N$ embedded in Heisenberg algebras and consider their representations having a highest weight. These Yangian algebra presentations depend on $nN$ parameters. We construct explicitly intertwiners, which exist if the parameter arrays are related by permutations. The intertwiners are products of elementary adjacent parameter permutation operators derived from $R$ operators obeying Yang-Baxter relations. Permutation coefficients appear in the action on representations. Their dependence on the parameters allows to distinguish the types of representations. |
| title | Intertwiners of Yangian representations |
| topic | Quantum Algebra Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2508.11980 |