Abstract Let G be a reductive split p-adic group and let U be the unipotent radical of a Borel subgroup. We study the cohomology with trivial -coefficients of the profinite nilpotent group and its Lie algebra by extending a classical result of Kostant to our integral p-adic setup. The techniques used are a combination of results from group theory, algebraic groups and homological algebra.

中文翻译：

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关于积分p-进单能自由基的上同调

摘要 令 G 为还原分裂 p-进群，令 U 为 Borel 子群的单能根。我们通过将 Kostant 的经典结果扩展到我们的积分 p-adic 设置，研究了具有平凡系数的 profinite 幂零群及其李代数的上同调。所使用的技术结合了群论、代数群和同调代数的结果。