Volume: 379; 2016; 96 pp; Softcover
MSC: Primary 53; Secondary 22
Print ISBN: 978-2-85629-834-3
Product Code: AST/379
List Price: $52.00
AMS Member Price: $41.60
Symplectic Lie Groups
Share this pageOliver Baues; Vicente Cortés
A publication of the Société Mathématique de France
The authors develop the structure theory of symplectic Lie
groups based on the study of their isotropic normal subgroups.
This book consists of three main parts. In the first part, the
authors show that every symplectic Lie group admits a sequence of
subsequent symplectic reductions to a unique irreducible symplectic
Lie group. In the second part, they address the symplectic geometry of
cotangent symplectic Lie groups and the theory of Lagrangian
extensions of flat Lie groups. In the third part, they analyze the
existence problem for Lagrangian normal subgroups in nilpotent
symplectic Lie groups.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Readership
Graduate students and research mathematicians interested in Lie groups.