On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra
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...
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| Дата: | 2015 |
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| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146905 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1469052019-02-12T01:25:43Z On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra Hattai, T. Ito, T. 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. 2015 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Hattai, T. Ito, T. |
| spellingShingle |
Hattai, T. Ito, T. On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Hattai, T. Ito, T. |
| author_sort |
Hattai, T. |
| title |
On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra |
| title_short |
On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra |
| title_full |
On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra |
| title_fullStr |
On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra |
| title_full_unstemmed |
On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra |
| title_sort |
on a certain subalgebra of uq(sl₂) related to the degenerate q-onsager algebra |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146905 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT hattait onacertainsubalgebraofuqsl2relatedtothedegenerateqonsageralgebra AT itot onacertainsubalgebraofuqsl2relatedtothedegenerateqonsageralgebra |
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2023-05-20T17:26:01Z |
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2023-05-20T17:26:01Z |
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