Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-03-03
J.Math.Phys. 37 (1996) 1-5
Physics
High Energy Physics
High Energy Physics - Theory
7 pages,latex,this is the completely revised version of my paper which is submitted for publication
Scientific paper
10.1063/1.531372
Usually quantum chains with quantum group symmetry are associated with representations of quantized universal algebras $U_q(g) $ . Here we propose a method for constructing quantum chains with $C_q(G)$ global symmetry , where $C_q(G)$ is the algebra of functions on the quantum group. In particular we will construct a quantum chain with $GL_q(2)$ symmetry which interpolates between two classical Ising chains.It is shown that the Hamiltonian of this chain satisfies in the generalised braid group algebra.
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