On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra
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| Creator |
Hattai, T.
Ito, T. |
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| Description |
In [Kyushu J. Math. 64 (2010), 81-144], it is discussed that a certain subalgebra of the quantum affine algebra Uq(sl₂) controls the second kind TD-algebra of type I (the degenerate q-Onsager algebra). The subalgebra, which we denote by U'q(sl₂), is generated by e+0, e±₁, k±¹ i (i=0,1) with e−0 missing from the Chevalley generators e±i, k±¹i (i=0,1) of Uq(sl₂). In this paper, we determine the finite-dimensional irreducible representations of U′q(sl₂). Intertwiners are also determined.
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| Date |
2019-02-11T21:27:36Z
2019-02-11T21:27:36Z 2015 |
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| Type |
Article
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| Identifier |
On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra / T. Hattai, T. Ito // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 5 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 17B37; 05E30 DOI:10.3842/SIGMA.2015.007 http://dspace.nbuv.gov.ua/handle/123456789/146905 |
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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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