On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra
| dc.contributor.author | Hattai, T. | |
| dc.contributor.author | Ito, T. | |
| dc.date.accessioned | 2019-02-11T21:27:36Z | |
| dc.date.available | 2019-02-11T21:27:36Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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). | uk_UA |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 17B37; 05E30 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.007 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/146905 | |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.status | published earlier | uk_UA |
| dc.title | On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra | uk_UA |
| dc.type | Article | uk_UA |
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