Almost-Bieberbach groups : affine and polynomial structures / / Karel Dekimpe

• Autore: Dekimpe Karel <1967->
• Pubblicazione: Berlin : , : Springer, , [1996]; ©1996
• Edizione: 1st ed. 1996.
• Descrizione fisica: 1 online resource (X, 262 p.)
• Disciplina: 512.55
• Soggetto topico: Linear algebraic groups; Topological transformation groups; Nilpotent groups
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Preliminaries and notational conventions -- Infra-nilmanifolds and Almost-Bieberbach groups -- Algebraic characterizations of almost-crystallographic groups -- Canonical type representations -- The Cohomology of virtually nilpotent groups -- Infra-nilmanifolds and their topological invariants -- Classification survey.
• Sommario/riassunto: Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. Moreover, using affine representations, explicit cohomology computations can be carried out, or resulting in a classification of the almost-Bieberbach groups in low dimensions. The concept of a polynomial structure, an alternative for the affine structures that sometimes fail, is introduced.
• Titolo autorizzato: Almost-bieberbach groups
• ISBN: 3-540-49564-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466600703316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1639.