Twisted super Yangians of type AIII and their representations
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910919648346112 |
|---|---|
| author | Lu, Kang |
| author_facet | Lu, Kang |
| contents | We study the super analogue of the Molev-Ragoucy reflection algebras, which we call twisted super Yangians of type AIII, and classify their finite-dimensional irreducible representations under certain conditions. These superalgebras are coideal subalgebras of the super Yangian $\mathscr{Y}(\mathfrak{gl}_{m|n})$ and are associated with symmetric pairs of type AIII in Cartan's classification. We establish the Schur-Weyl type duality between degenerate affine Hecke algebras of type BC and twisted super Yangians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16373 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Twisted super Yangians of type AIII and their representations Lu, Kang Representation Theory Mathematical Physics Quantum Algebra We study the super analogue of the Molev-Ragoucy reflection algebras, which we call twisted super Yangians of type AIII, and classify their finite-dimensional irreducible representations under certain conditions. These superalgebras are coideal subalgebras of the super Yangian $\mathscr{Y}(\mathfrak{gl}_{m|n})$ and are associated with symmetric pairs of type AIII in Cartan's classification. We establish the Schur-Weyl type duality between degenerate affine Hecke algebras of type BC and twisted super Yangians. |
| title | Twisted super Yangians of type AIII and their representations |
| topic | Representation Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2311.16373 |