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Paper   IPM / Physic / 6494
School of Physics
  Title:   Inhomogeneous Quantum Groups Related to Two-Dimensional Quantum Planes
1.  A. Shariati
2.  A. Aghamohammadi
3.  S. Rouhani
  Status:   Published
  Journal: J. Phys. A: Math. Gen.
  No.:  28
  Vol.:  27
  Year:  1994
  Pages:   7103-7113
  Supported by:  IPM
We propose a simple and compact method for deriving quantum groups acting on Manin's q- and h-planes. Using this method, we classify all the rigid motions of the two-dimensional quantum planes. Requiring that these inhomogenous transformations preserve differential structure of the quantum plane, we obtain two distinct inhomogenous quantum groups for the q-plane and one previously unknown inhomogenous quantum group for the h-plane, IGLh,h(2).

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