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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2015 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146905 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146905 |
|---|---|
| record_format |
dspace |
| spelling |
Hattai, T. Ito, T. 2019-02-11T21:27:36Z 2019-02-11T21:27:36Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/146905 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. This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is available at http://www.emis.de/journals/SIGMA/LieTheory2014.html. The research of the second author is supported by Science Foundation of Anhui University (Grant No. J10117700037). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra |
| spellingShingle |
On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra Hattai, T. Ito, T. |
| 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 |
| author |
Hattai, T. Ito, T. |
| author_facet |
Hattai, T. Ito, T. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT hattait onacertainsubalgebraofuqsl2relatedtothedegenerateqonsageralgebra AT itot onacertainsubalgebraofuqsl2relatedtothedegenerateqonsageralgebra |
| first_indexed |
2025-12-07T19:40:39Z |
| last_indexed |
2025-12-07T19:40:39Z |
| _version_ |
1850879706757332992 |