Asymptotic Representations of Quantum Affine Superalgebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Asymptotic Representations of Quantum Affine Superalgebras
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| Creator |
Zhang, H.
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| Description |
We study representations of the quantum affine superalgebra associated with a general linear Lie superalgebra. In the spirit of Hernandez-Jimbo, we construct inductive systems of Kirillov-Reshetikhin modules based on a cyclicity result that we established previously on tensor products of these modules, and realize their inductive limits as modules over its Borel subalgebra, the so-called q-Yangian. A new generic asymptotic limit of the same inductive systems is proposed, resulting in modules over the full quantum affine superalgebra. We derive generalized Baxter's relations in the sense of Frenkel-Hernandez for representations of the full quantum group.
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| Date |
2019-02-18T18:16:12Z
2019-02-18T18:16:12Z 2017 |
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| Type |
Article
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| Identifier |
Asymptotic Representations of Quantum Affine Superalgebras / H. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 37 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 17B37; 17B10; 81R50 DOI:10.3842/SIGMA.2017.066 http://dspace.nbuv.gov.ua/handle/123456789/148732 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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