“School of Physic”
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| Paper IPM / Physic / 6494 |
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| Abstract: | |||||||
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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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