On diameters of orbits of compact groups in unitary representations

Author:

Deutsch Annabel,Valette Alain

Abstract

AbstractFor a compact group G, we compute the Kazhdan constants κ(G, G) obtained by taking G itself as a generating subset. We get κ(G, G) = if G is finite of order n, and κ(G, G) = if G is infinite.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference7 articles.

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Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Kazhdan constants for compact groups;Journal of the Australian Mathematical Society;2006-08

2. Kazhdan constants for conjugacy classes of compact groups;Journal of Algebra;2003-12

3. Explicit Kazhdan constants for representations of semisimple and arithmetic groups;Annales de l’institut Fourier;2000

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