Stability and instability of lattices in semisimple groups

Uri Bader, Alexander Lubotzky, Roman Sauer, Shmuel Weinberger
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Abstract

Using cohomological methods, we show that lattices in semisimple groups are typically stable with respect to the Frobenius norm but not with respect to the operator norm.

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半简单群中网格的稳定性和不稳定性
我们利用同调方法证明,半简单群中的网格在弗罗贝尼斯规范方面通常是稳定的,但在算子规范方面却不稳定。
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