Dynamic systems related to the Cremmer--Gervais $R$-matrix
    
    
  
  
  
      
      
      
        
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 1, pp. 101-112
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			The generalized Cremmer–Gervais $R$-matrix, which is a twist of the standard $sl_q(3)$ $R$-matrix, depends on two additional parameters. We discuss the properties of this $R$-matrix and construct two associated dynamic systems: the $q$-oscillator that is covariant with respect to the corresponding quantum group and an integrable spin chain with a non-Hermitian Hamiltonian.
			
            
            
            
          
        
      @article{TMF_1998_116_1_a2,
     author = {E. V. Damaskinsky and P. P. Kulish and M. Chaichian},
     title = {Dynamic systems related to the {Cremmer--Gervais} $R$-matrix},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {101--112},
     publisher = {mathdoc},
     volume = {116},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_1_a2/}
}
                      
                      
                    TY - JOUR AU - E. V. Damaskinsky AU - P. P. Kulish AU - M. Chaichian TI - Dynamic systems related to the Cremmer--Gervais $R$-matrix JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1998 SP - 101 EP - 112 VL - 116 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1998_116_1_a2/ LA - ru ID - TMF_1998_116_1_a2 ER -
E. V. Damaskinsky; P. P. Kulish; M. Chaichian. Dynamic systems related to the Cremmer--Gervais $R$-matrix. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 1, pp. 101-112. http://geodesic.mathdoc.fr/item/TMF_1998_116_1_a2/
