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arXiv · 1806.06375

Sum-product for real Lie groups

Weikun He·Nicolas de Saxcé
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Abstract

We prove a discretized sum-product theorem for representations of Lie groups whose Jordan-H\"older decomposition does not contain the trivial representation. This expansion result is used to derive a product theorem in perfect Lie groups.

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Weikun He, Nicolas de Saxcé. 2018-06-17. Sum-product for real Lie groups. https://arxiv.org/abs/1806.06375

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