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arXiv · 1808.03923

On the cohomology of integral $p$-adic unipotent radicals

Niccolò Ronchetti
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Abstract

Let $\mathrm G / F$ be a reductive split $p$-adic group and let $\mathrm U$ be the unipotent radical of a Borel subgroup. We study the cohomology with trivial $\mathbb Z_p$-coefficients of the profinite nilpotent group $N = \mathrm U(\mathcal O_F)$ and its Lie algebra $\mathfrak n$, 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.

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BibTeXRIS

Niccolò Ronchetti. 2018-08-12. On the cohomology of integral $p$-adic unipotent radicals. https://arxiv.org/abs/1808.03923

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