This book contains the latest developments of the theory of
discontinuous groups acting on homogenous spaces, from basic
concepts to a comprehensive exposition. It develops the newest
approaches and methods in the deformation theory of topological
modules and unitary representations and focuses on the geometry of
discontinuous groups of solvable Lie groups and their compact
extensions. It also presents proofs of recent results, computes
fundamental examples, and serves as an introduction and reference
for students and experienced researchers in Lie theory,
discontinuous groups, and deformation (and moduli) spaces.
General
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