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arxiv: math/0611232 · v3 · submitted 2006-11-08 · 🧮 math.OA

Growth estimates for discrete quantum groups

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keywords groupsgrowthquantumdiscreteanalogueclassicalcomputationsconsiderations
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We discuss the notion of growth for discrete quantum groups, with a number of general considerations, and with some explicit computations. Of particular interest is the quantum analogue of Gromov's estimate regarding polynomial growth: we formulate the precise question, and we verify it for the duals of classical Lie groups.

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