Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909576885960704 |
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| author | Lu, Kang |
| author_facet | Lu, Kang |
| contents | We give explicit actions of Drinfeld generators on Gelfand-Tsetlin bases of super Yangian modules associated with skew Young diagrams. In particular, we give another proof that these representations are irreducible. We study irreducible tame $\mathrm Y(\mathfrak{gl}_{1|1})$-modules and show that a finite-dimensional irreducible $\mathrm Y(\mathfrak{gl}_{1|1})$-module is tame if and only if it is thin. We also give the analogous statements for quantum affine superalgebra of type A. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_08758 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra Lu, Kang Quantum Algebra Representation Theory We give explicit actions of Drinfeld generators on Gelfand-Tsetlin bases of super Yangian modules associated with skew Young diagrams. In particular, we give another proof that these representations are irreducible. We study irreducible tame $\mathrm Y(\mathfrak{gl}_{1|1})$-modules and show that a finite-dimensional irreducible $\mathrm Y(\mathfrak{gl}_{1|1})$-module is tame if and only if it is thin. We also give the analogous statements for quantum affine superalgebra of type A. |
| title | Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2103.08758 |