Growth estimates for discrete quantum groups

Growth estimates for discrete quantum groups
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离散量子群的增长估计

DOI:
10.1142/s0219025709003677
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发表时间:
2006
期刊:
Infinite Dimensional Analysis, Quantum Probability and Related Topics
影响因子:
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通讯作者:
Roland Vergnioux
Roland Vergnioux
中科院分区:
--
文献类型:
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作者:
T. Banica;Roland Vergnioux

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我们讨论离散量子群的增长的概念,一些一般的考虑,并与一些明确的计算。特别感兴趣的是量子模拟格罗莫夫的估计多项式增长:我们制定了精确的问题,我们验证了它的经典李群。
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.