Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries
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| Creator |
Doikou, A.
Karaiskos, N. |
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| Description |
Inspired by earlier works on representations of the Temperley-Lieb algebra we introduce a novel family of representations of the algebra. This may be seen as a generalization of the so called asymmetric twin representation. The underlying symmetry algebra is also examined and it is shown that in addition to certain obvious exact quantum symmetries non trivial quantum algebraic realizations that exactly commute with the representation also exist. Non trivial representations of the boundary Temperley-Lieb algebra as well as the related residual symmetries are also discussed. The corresponding novel R and K matrices solutions of the Yang-Baxter and reflection equations are identified, the relevant quantum spin chain is also constructed and its exact symmetries are studied.
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| Date |
2019-02-09T19:42:56Z
2019-02-09T19:42:56Z 2010 |
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| Type |
Article
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| Identifier |
Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries / A. Doikou, N. Karaiskos // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 24 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81R50; 17B37; 17B80 DOI:10.3842/SIGMA.2010.089 http://dspace.nbuv.gov.ua/handle/123456789/146516 |
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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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