Geometric presentations of Lie groups and their Dehn functions

Yves Cornulier; Romain Tessera

doi:10.1007/s10240-016-0087-3

Geometric presentations of Lie groups and their Dehn functions

Yves Cornulier
, Romain Tessera

Laboratoire de Mathématiques d'Orsay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

7 Citations (Scopus)

Résumé

We study the Dehn function of connected Lie groups. We show that this function is always exponential or polynomially bounded, according to the geometry of weights and of the 2-cohomology of their Lie algebras. Our work, which also addresses algebraic groups over local fields, uses and extends Abels’ theory of multiamalgams of graded Lie algebras, in order to provide workable presentations of these groups.

langue originale	Anglais
Pages (de - à)	79-219
Nombre de pages	141
journal	Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
Volume	125
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s10240-016-0087-3
état	Publié - 1 juin 2017
Modification externe	Oui

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10.1007/s10240-016-0087-3

Contient cette citation

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Geometric presentations of Lie groups and their Dehn functions

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