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arXiv · 1802.07618

On the l^{q,p} cohomology of Carnot groups

Pierre Pansu·Michel Rumin
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Abstract

We study the simplicial {\ell} q,p cohomology of Carnot groups G. We show vanishing and non-vanishing results depending of the range of the (p, q) gap with respect to the weight gaps in the Lie algebra cohomology of G.

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Pierre Pansu, Michel Rumin. 2018-02-21. On the l^{q,p} cohomology of Carnot groups. https://arxiv.org/abs/1802.07618

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