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.
                    
                  
                
                
                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/
