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arxiv: 0802.1571 · v1 · submitted 2008-02-12 · 🧮 math.CO · math.NT· math.RT

On the eigenvalues of p-adic curvature

classification 🧮 math.CO math.NTmath.RT
keywords curvatureeigenvaluep-adictransformationsboundbruhat-titsbuildingsdetermine
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We determine the maximal eigenvalue of the p-adic curvature transformations on Bruhat-Tits buildings, and we give an essentially optimal upper bound on the minimal non-zero eigenvalue of these transformations.

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