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Paper   IPM / P / 6514
School of Physics
  Title:   A Triangular Deformation of the Two-Dimensional Poincaré Algebra
1.  M. Khorrami
2.  A. Shariati
3.  M.R. Abolhasani
4.  A. Aghamohammadi
  Status:   Published
  Journal: Mod. Phys. Lett. A
  No.:  36
  Vol.:  10
  Year:  1995
  Pages:   873-883
  Supported by:  IPM
Contracting the h-deformation of SL(2,\BbbR), we construct a new deformation of two-dimensional Poincar\acutee algebra, the algebra of functions on its group and its differential structure. It is seen that these dual Hopf algebras are isomorphic to each other. It is also shown that the Hopf algebra is triangular, and its universal R-matrix is also constructed explicitly. We then find a deformation map for the universal enveloping algebra, and at the end, give the deformed mass shells and Lorentz transformation.

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