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arXiv · 1904.06669

Averages and the $\ell^{q,1}$-cohomology of Heisenberg groups

Pierre Pansu·Francesca Tripaldi
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Abstract

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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Pierre Pansu, Francesca Tripaldi. 2019-04-14. Averages and the $\ell^{q,1}$-cohomology of Heisenberg groups. https://arxiv.org/abs/1904.06669

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