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Kleinian groups and hyperbolic 3-manifolds

✍ Scribed by Komori Y., et al. (eds.)

Book ID
127418588
Publisher
CUP
Year
2003
Tongue
English
Weight
3 MB
Category
Library
ISBN-13
9780521539319

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✦ Synopsis

After describing the module-theoretic aspects of coalgebras over commutative rings, this volume defines corings as coalgebras for non-commutative rings. Topics covered include module-theoretic aspects of corings (such as the relation of comodules to special subcategories of modules: sigma-type categories); connections between corings and extensions of rings; properties of new examples of corings associated to entwining structures; generalizations of bialgebras such as bialgebroids and weak bialgebras; and the appearance of corings in non-commutative geometry.

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The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis.