Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups
type: Item
instance of: scholarly article
title: Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups
zbMATH Open document ID: 0841.22006
DOI: 10.2307/2118651
author: Fulvio Ricci
author: Detlef Müller
published in: Annals of Mathematics. Second Series
publication date: 1996-03-12T00:00:00Z
review text: The authors discuss the solvability of left-invariant differential operators on connected, simply connected 2-step nilpotent Lie groups \(G\) of the form \(L = \sum_{j, k = 1}^m a_{jk} V_j V_k + U\) where \(v_1, \dots, v_m\) are real, left-invariant vector fields, \(U\) is a complex, left-invariant vector field and \(A = (a_{jk})\) is a real symmetric matrix. They prove a theorem giving necessary and sufficient conditions for the solvability of these operators.
reviewed by: Pierre Hillion
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 47G30
zbMATH DE Number: 854847
zbMATH Keywords: characteristics
zbMATH Keywords: solvability
zbMATH Keywords: differential operators
zbMATH Keywords: nilpotent Lie groups
zbMATH Keywords: vector field
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2307/2118651
OpenAlex ID: W2330145347
description: scientific article; zbMATH DE number 854847