“School of Physic”
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Paper IPM / Physic / 6514  


Abstract:  
Contracting the hdeformation of SL(2,\BbbR), we construct a new
deformation of twodimensional 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 Rmatrix 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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