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

Michel Rumin; Pierre Pansu

arxiv: 1802.07618 · v1 · pith:KY333OVKnew · submitted 2018-02-21 · 🧮 math.FA · math.DG

On the l^(q,p) cohomology of Carnot groups

Pierre Pansu , Michel Rumin This is my paper

classification 🧮 math.FA math.DG

keywords cohomologycarnotgroupsalgebradependinggapsnon-vanishingrange

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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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On the l^(q,p) cohomology of Carnot groups

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