Symplectic Lie Groups

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...
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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.