Mathematics – Quantum Algebra
Scientific paper
1995-01-27
J.Phys. A28 (1995) 7113-7125
Mathematics
Quantum Algebra
17 pages, LaTeX.
Scientific paper
10.1088/0305-4470/28/24/012
The Hopf algebra dual form for the non--standard uniparametric deformation of the (1+1) Poincar\'e algebra $iso(1,1)$ is deduced. In this framework, the quantum coordinates that generate $Fun_w(ISO(1,1))$ define an infinite dimensional Lie algebra. A change in the basis of the dual form is obtained in order to compare this deformation to the standard one. Finally, a non--standard quantum Heisenberg group acting on a quantum Galilean plane is obtained.
Ballesteros Angel
del Olmo Mariano A.
Herranz Francisco J.
Pereña C. M.
Santander Mariano
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