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Growth estimates for discrete quantum groups

Teodor Banica, Roland Vergnioux

math.OAarXiv:math/0611232

Abstract

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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