Pansu, Pierre; Rumin, Michel
On the ${\ell }^{q,p}$ cohomology of Carnot groups
Annales Henri Lebesgue, Volume 1 (2018), p. 267-295

### Metadata

Keywords${\ell }^{q,p}$ cohomology, Carnot group, global analysis on manifolds

### 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 $\left(p,q\right)$ gap with respect to the weight gaps in the Lie algebra cohomology of $G$.

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