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

Veronique Fischer; Francesca Tripaldi

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

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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 language	English
Publisher	arXiv
Publication status	Published - 23 Aug 2022

Bibliographical note

28 pages

Keywords

math.DG
math.AP
58J10, 53C17, 22E25

Access to Document

2208.11118v1

Quantum Limits for Sub-elliptic Operators
Fischer, V. (PI)
The Leverhulme Trust
1/12/20 → 31/08/24
Project: UK charity

Cite this

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

Abstract

Bibliographical note

Keywords

Access to Document

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Projects

Quantum Limits for Sub-elliptic Operators

Cite this