Temperley--Lieb $R$-matrices from generalized Hadamard matrices
Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 2, pp. 255-273

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct new sets of rank $n$-representations of the Temperley–Lieb algebra $TL_N(q)$ that are characterized by two matrices with a generalized complex Hadamard property. We give partial classifications for the two matrices, in particular, in the case where they reduce to Fourier or Butson matrices.
Keywords: Yang–Baxter equation, Temperley–Lieb algebra
Mots-clés : $R$-matrix, Hadamard matrix.
@article{TMF_2014_178_2_a3,
     author = {J. Avan and T. Fonseca and L. Frappat and P. P. Kulish and {\CYREREV}. Ragoucy and G. Rollet},
     title = {Temperley--Lieb $R$-matrices from generalized {Hadamard} matrices},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {255--273},
     publisher = {mathdoc},
     volume = {178},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_178_2_a3/}
}
TY  - JOUR
AU  - J. Avan
AU  - T. Fonseca
AU  - L. Frappat
AU  - P. P. Kulish
AU  - Э. Ragoucy
AU  - G. Rollet
TI  - Temperley--Lieb $R$-matrices from generalized Hadamard matrices
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2014
SP  - 255
EP  - 273
VL  - 178
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2014_178_2_a3/
LA  - ru
ID  - TMF_2014_178_2_a3
ER  - 
%0 Journal Article
%A J. Avan
%A T. Fonseca
%A L. Frappat
%A P. P. Kulish
%A Э. Ragoucy
%A G. Rollet
%T Temperley--Lieb $R$-matrices from generalized Hadamard matrices
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2014
%P 255-273
%V 178
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2014_178_2_a3/
%G ru
%F TMF_2014_178_2_a3
J. Avan; T. Fonseca; L. Frappat; P. P. Kulish; Э. Ragoucy; G. Rollet. Temperley--Lieb $R$-matrices from generalized Hadamard matrices. Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 2, pp. 255-273. http://geodesic.mathdoc.fr/item/TMF_2014_178_2_a3/