تقرير
Asymptotic Schur orthogonality in hyperbolic groups with application to monotony
| العنوان: | Asymptotic Schur orthogonality in hyperbolic groups with application to monotony |
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| المؤلفون: | Boyer, Adrien, Garncarek, Łukasz |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Representation Theory, 20C15, 20F65, 22D10, 22D40 (Primary), 22D25, 37A25, 37A30, 37A55 (Secondary) |
| الوصف: | We prove a generalization of Schur orthogonality relations for certain classes of representations of Gromov hyperbolic groups. We apply the obtained results to show that representations of non-abelian free groups associated to the Patterson-Sullivan measures corresponding to a wide class of invariant metrics on the group are monotonous in the sense introduced by Kuhn and Steger. This in particular includes representations associated to harmonic measures of a wide class of random walks. Comment: 25 pages, 0 figures; (v2) added grant numbers |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1610.06429 |
| رقم الأكسشن: | edsarx.1610.06429 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |