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We classify non-operatorial matrices K solving Skylanin's quantum reflection equation for all R-matrices obtained from the newly defined general rank- n Hadamard type representations of the Temperley-Lieb algebra $TL_N(\sqrt n)$. They are characteriz
Externí odkaz:
http://arxiv.org/abs/1307.7608
Publikováno v:
Theor. Math. Phys. 178 (2014) 223
New sets of rank n-representations of Temperley-Lieb algebra TL_N(q) are constructed. They are characterized by two matrices obeying a generalization of the complex Hadamard property. Partial classifications for the two matrices are given, in particu
Externí odkaz:
http://arxiv.org/abs/1306.2927
The general solutions of the reflection equation associated with Temperley-Lieb $R$-matrices are constructed. Their parametrization is defined and the Hamiltonians of corresponding integrable spin systems are given.
Comment: 11 pages, no figures
Comment: 11 pages, no figures
Externí odkaz:
http://arxiv.org/abs/1012.3012
Publikováno v:
Journal of Mathematical Physics 49 023510 (2008)
A reducible representation of the Temperley-Lieb algebra is constructed on the tensor product of n-dimensional spaces. One obtains as a centraliser of this action a quantum algebra (a quasi-triangular Hopf algebra) U_q with a representation ring equi
Externí odkaz:
http://arxiv.org/abs/0712.3154
Autor:
Romy van Mader
KUBA LIEB(r)E Eine humorvolle Geschichte über die Liebe oder was man dafür gehalten hat. #eshort Günther, ein einst gefeierter Entertainer, verkauft sein letztes Hab und Gut, ignoriert die Ratschläge seines besten Freundes und versucht sein LIEBE
Publikováno v:
Theoretical & Mathematical Physics. Nov2011, Vol. 169 Issue 2, p1530-1538. 9p.
Publikováno v:
Theoretical & Mathematical Physics. Apr2014, Vol. 179 Issue 1, p387-394. 8p.
Autor:
Avan, J.1 avan@u-cergy.fr, Fonseca, T.2 dinis@lapth.cnrs.fr, Frappat, L.2 frappat@lapth.cnrs.fr, Kulish, P.3 kulish@pdmi.ras.ru, Ragoucy, E.2 ragoucy@lapth.cnrs.fr, Rollet, G.1 rollet@u-cergy.fr
Publikováno v:
Theoretical & Mathematical Physics. Feb2014, Vol. 178 Issue 2, p223-238. 16p.
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Publikováno v:
Theoretical and Mathematical Physics. 169:1530-1538
The general solutions of the reflection equation associated with Temperley-Lieb $R$-matrices are constructed. Their parametrization is defined and the Hamiltonians of corresponding integrable spin systems are given.
11 pages, no figures. Referen
11 pages, no figures. Referen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09041b5a373aaf9db628edcd40752201
https://doi.org/10.1007/s11232-011-0130-y
https://doi.org/10.1007/s11232-011-0130-y