Abstract
We will study a faithful product type action of Gq, the q-deformation of a connected semisimple compact Lie group G, and prove that such an action is induced from a minimal action of the maximal torus T of Gq. This enables us to classify product type actions of SUq(2) up to conjugacy. We also compute the intrinsic group of Gq,Ω, the 2-cocycle deformation of Gq that is naturally associated with the quantum flag manifold L∞(T\\Gq).
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