solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看5873次
Diaconis-Shahshahani Upper Bound Lemma for Finite Quantum Groups. (arXiv:1810.04935v1 [math.QA])
来源于:arXiv
A central tool in the study of ergodic random walks on finite groups is the
Upper Bound Lemma of Diaconis and Shahshahani. The Upper Bound Lemma uses the
representation theory of the group to generate upper bounds for the distance to
random and thus can be used to determine convergence rates for ergodic walks.
The representation theory of quantum groups is remarkably similar to the
representation theory of classical groups. This allows for a generalisation of
the Upper Bound Lemma to an Upper Bound Lemma for finite quantum groups. The
Upper Bound Lemma is used to study the convergence of ergodic random walks on
the dual group $\widehat{S_n}$ as well as on the truly quantum groups of
Sekine. 查看全文>>