Schwermer, Joachim, <br/><br/>
Reduction theory and arithmetic groups / 
Joachim Schwermer. 
 - xiii, 360 pages :  illustrations ;  25 cm. 
 - New mathematical monographs ;  45. .
 - New mathematical monographs ;  45. .
<br/><br/>Includes bibliographical references and index. 
<br/><br/>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. 
<br/><br/> "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"-- 
<br/><br/><label>ISBN: </label>9781108832038 1108832032 
<br/><br/><label>LCCN: </label>2022022858 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Arithmetic groups.<br/>Number theory.
<br/><br/><label>LC Class. No.: </label>QA174.2  / .S349 2023 QA174.2  / .S349 2023 
<br/><br/><label>Dewey Class. No.: </label>512.74