TY - JOUR
T1 - Geometric presentations of Lie groups and their Dehn functions
AU - Cornulier, Yves
AU - Tessera, Romain
N1 - Publisher Copyright:
© 2016, IHES and Springer-Verlag Berlin Heidelberg.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - 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.
AB - 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.
U2 - 10.1007/s10240-016-0087-3
DO - 10.1007/s10240-016-0087-3
M3 - Article
AN - SCOPUS:85006835755
SN - 0073-8301
VL - 125
SP - 79
EP - 219
JO - Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
JF - Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
IS - 1
ER -