01316 a2200181 4500008004100000020002300041041000800064080001500072100002300087245004300110260004800153300000900201490003600210505048700246520034800733650002201081650003101103230726b |||||||| |||| 00| 0 eng d a9781108832038 (HB) aeng a512.7bSCH aSchwermer, Joachim aReduction Theory and Arithmetic Groups bCambridge University Pressc2023aCambridge a360p aNew mathematical monographsv45 aModules, 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 a"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 aArithmetic groups aMathematics, Number Theory