Deformation Theory of Discontinuous Groups

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 t...

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Bibliographic Details
Main Author: Baklouti, Ali
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2022, ©2022
Series:De Gruyter Expositions in Mathematics
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
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505 0 |a Frontmatter, Preface, Contents, 1 Structure theory, 2 Proper actions on homogeneous spaces, 3 Deformation and moduli spaces, 4 The deformation space for nilpotent Lie groups, 5 Local and strong local rigidity, 6 Stability concepts and Calabi–Markus phenomenon, 7 Discontinuous actions on reduced nilmanifolds 8 Deformation of topological modules, Bibliography, Index 
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520 3 |a 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. A comprehensive work on the geometry of discontinuous groups of solvable Lie groups and their compact extensions. Covers all recent developments in the field. Of interest to graduate students and experienced researchers alike.