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arxiv: 1904.06669 · v1 · pith:BQSWWT3Rnew · submitted 2019-04-14 · 🧮 math.DG

Averages and the ell^(q,1)-cohomology of Heisenberg groups

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keywords cohomologygroupsaveragesheisenbergabelianallowsauthorscases
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Averages are invariants defined on the $\ell^1$ cohomology of Lie groups. We prove that they vanish for abelian and Heisenberg groups. This result completes work by other authors and allows to show that the $\ell^1$ cohomology vanishes in these cases.

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