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تسجيل مستخدم جديدConnectedness and irreducibility of compact quantum groups
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We show that a natural notion of irreducibility implies connectedness in the Compact Quantum Group setting. We also investigate the converse implication and show it is related to Kaplanskys conjectures on group algebras.
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Let $G$ be one of the classical compact, simple, centre-less, connected Lie groups or rank $n$ with a maximal torus $T$, the Lie algebra $clg$ and let ${ E_i, F_i, H_i, i=1, ldots, n }$ be the standard set of generators corresponding to a basis of th
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tions for irreducibility of tensor products of such evaluation modules.
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