Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Doikou, A., Karaiskos, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146516
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 add...