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arXiv · 1405.1808

A spectral gap theorem in simple Lie groups

Yves Benoist·Nicolas de Saxcé
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Abstract

We establish the spectral gap property for dense subgroups generated by algebraic elements in any compact simple Lie group, generalizing earlier results of Bourgain and Gamburd for unitary groups.

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Yves Benoist, Nicolas de Saxcé. 2014-05-08. A spectral gap theorem in simple Lie groups. https://arxiv.org/abs/1405.1808

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