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Paper   IPM / P / 6498
School of Physics
  Title:   Quantum Chains with GLq(2) Symmetry
  Author(s):  M. Alimohammadi
  Status:   Published
  Journal: J. Math. Phys.
  No.:  27
  Vol.:  37
  Year:  1996
  Pages:   1-5
  Supported by:  IPM
  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 the generalized braid group algebra.

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