Rigidity of Iwasawa nilpotent Lie groups via Tanaka’s theory

Authors

  • Alessandro Ottazzi
  • Ben Warhurst

DOI:

https://doi.org/10.1285/i15900932v30n1p141

Keywords:

Simple Lie groups and algebras, contact map, prolongation, H-type algebras, differential system

Abstract

We provide a new proof to the known result on rigidity of Iwasawa nilpotent Lie groups [5, 12]. More precisely, we use Tanaka’s prolongation theory for establishing the rigidity type of those nilpotent groups. This note aims to complement [8], where we use the point of view of Tanaka prolongations for studying rigidity in the general setting of nilpotent stratified Lie groups. When the group is of Iwasawa type, a special formalism occurs, which is related to the theory of semisimple Lie groups, namely the formalism of root systems. We use this language in order to classify the rigidity types.

Downloads

Published

07-06-2011

Issue

Volume 30, Issue 1 (2010)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode