An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups

Véronique Fischer, Francesca Tripaldi

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider the Rumin complex on homogenenous nilpotent Lie groups. We present an alternative construction to the classical one on Carnot groups using ideas from parabolic geometry. We also give the explicit computations for the Engel group with this approach.

Original languageEnglish
Article number109192
JournalAdvances in Mathematics
Volume429
Early online date11 Jul 2023
DOIs
Publication statusPublished - 15 Sept 2023

Bibliographical note

Funding Information:
F. Tripaldi is supported by the Swiss National Science Foundation Grant nr. 200020-191978 , Analytic and geometric structures in singular spaces.

Funding Information:
Acknowledgements. V. Fischer acknowledges the support of The Leverhulme Trust via Research Project Grant 2020-037, Quantum limits for sub-elliptic operators.F. Tripaldi is supported by the Swiss National Science Foundation Grant nr. 200020-191978, Analytic and geometric structures in singular spaces.

Funding Information:
Acknowledgements. V. Fischer acknowledges the support of The Leverhulme Trust via Research Project Grant 2020-037 , Quantum limits for sub-elliptic operators.

Keywords

  • Cohomology on Lie groups
  • Engel group
  • Homogeneous nilpotent Lie groups
  • Rumin complex on Carnot groups

ASJC Scopus subject areas

  • Mathematics(all)

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