Quantum Chains with GLq(2) Symmetry
Abstract
Usually quantum chains with quantum group symmetry are associated with representations of quantized universal algebras Uq(g) . Here we propose a method for constructing quantum chains with Cq(G) global symmetry , where Cq(G) is the algebra of functions on the quantum group. In particular we will construct a quantum chain with GLq(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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