Reduction Theory and Arithmetic Groups

By: Schwermer, JoachimLanguage: English Series: New mathematical monographs ; 45Publication details: Cambridge Cambridge University Press 2023Description: 360pISBN: 9781108832038 (HB)Subject(s): Arithmetic groups | Mathematics, Number Theory | Mathematics
Contents:
Modules, lattices, and orders The general linear group over rings A menagerie of examples a historical perspective Arithmetic groups Arithmetically defined Kleinian groups and hyperbolic 3-space Lattices reduction theory for GL Reduction theory and (semi)-stable lattices Arithmetic groups in algebraic k-groups Arithmetic groups, ambient lie groups, and related geometric objects Geometric cycles Geometric cycles via rational automorphisms Reduction theory for adelic coset spaces
Summary: "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"-- Provided by publisher
Item type: BOOKS List(s) this item appears in: New Arrivals (31 July 2023)
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Modules, lattices, and orders
The general linear group over rings
A menagerie of examples
a historical perspective
Arithmetic groups
Arithmetically defined Kleinian groups and hyperbolic 3-space
Lattices
reduction theory for GL
Reduction theory and (semi)-stable lattices
Arithmetic groups in algebraic k-groups
Arithmetic groups, ambient lie groups, and related geometric objects
Geometric cycles
Geometric cycles via rational automorphisms
Reduction theory for adelic coset spaces

"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"-- Provided by publisher

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