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arXiv 0909.0188math.OAmath.PRmath.QA
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易量子群的随机性

Stochastic aspects of easy quantum groups

Teodor Banica, Stephen Curran, Roland Speicher

摘要:

我们考虑几个正交的量子群,它们满足我们在前一篇文章中公理化的易度假设。对于它们中的每一个,我们讨论Tr(u^k)关于Haar测度的渐近律的计算,u是基本表示。对于典型群O_n,S_n,我们用这种方法恢复了Diaconis和Shahshahani的一些著名结果.

英文摘要:

We consider several orthogonal quantum groups satisfying the easiness assumption axiomatized in our previous paper. For each of them we discuss the computation of the asymptotic law of Tr(u^k) with respect to the Haar measure, u being the fundamental representation. For the classical groups O_n, S_n we recover in this way some well-known results of Diaconis and Shahshahani.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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