Reduction theory and arithmetic groups
Reduction theory and arithmetic groups:

Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse structures and they arise in many areas of study. This...

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Bibliographische Detailangaben
1. Verfasser: Schwermer, Joachim 1950- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 2023
Schriftenreihe:New mathematical monographs 45
Schlagworte:
Arithmetic groups
Number theory
Online-Zugang:DE-12
DE-634
DE-92
DE-355
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Zusammenfassung:Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse structures and they arise in many areas of study. This text enables you to build a solid, rigorous foundation in the subject. It first develops essential geometric and number theoretical components to the investigations of arithmetic groups, and then examines a number of different themes, including reduction theory, (semi)-stable lattices, arithmetic groups in forms of the special linear group, unipotent groups and tori, and reduction theory for adelic coset spaces. Also included is a thorough treatment of the construction of geometric cycles in arithmetically defined locally symmetric spaces, and some associated cohomological questions. Written by a renowned expert, this book is a valuable reference for researchers and graduate students
Beschreibung:1 Online-Ressource (xiii, 360 Seiten)
ISBN:9781108937610
DOI:10.1017/9781108937610

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