Hardcover. Condizione: new. Hardcover. 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. Filling a gap in the literature, this text gives a solid, rigorous foundation in the subject of the arithmetic of algebraic groups and reduction theory. It follows different developments in this area, geometric as well as number theoretical, at a level suitable for graduate students and researchers in related fields. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781108832038

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Reduction Theory and Arithmetic Groups

Schwermer, Joachim

Editore: Cambridge University Press, 2022

ISBN 10: 1108832032 ISBN 13: 9781108832038

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Reduction Theory and Arithmetic Groups

Joachim Schwermer

Editore: Cambridge University Press, 2022

ISBN 10: 1108832032 ISBN 13: 9781108832038

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Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 800. Codice articolo C9781108832038

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Reduction Theory and Arithmetic Groups (Hardcover)

Joachim Schwermer

Editore: Cambridge University Press, Cambridge, 2022

ISBN 10: 1108832032 ISBN 13: 9781108832038

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Hardcover. Condizione: new. Hardcover. 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. Filling a gap in the literature, this text gives a solid, rigorous foundation in the subject of the arithmetic of algebraic groups and reduction theory. It follows different developments in this area, geometric as well as number theoretical, at a level suitable for graduate students and researchers in related fields. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9781108832038

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