000			01395 a2200217 4500
008			230726b |||||||| |||| 00| 0 eng d
020			_a9781108832038 (HB)
041			_aeng
080			_a512.7 _bSCH
100			_aSchwermer, Joachim
245			_aReduction Theory and Arithmetic Groups
260			_bCambridge University Press _c2023 _aCambridge
300			_a360p
490			_aNew mathematical monographs _v45
505			_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
520			_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
650			_aArithmetic groups
650			_aMathematics, Number Theory
690			_aMathematics
942			_cBK _01
999			_c59386 _d59386