000 02411cam a22003138i 4500
001 23122844
005 20250603111634.0
008 230510s2023 enk b 001 0 eng
020 _a9780521113618
040 _aCSL
_cCSL
041 1 _aeng
_heng
084 _aB27 R3 NBHM
_qCSL
100 1 _aPlatonov, V. P.
_eauthor.
_9811516
245 1 0 _aAlgebraic groups and number theory
250 _a2nd ed.
264 1 _aCambridge ;
_bCambridge University Press,
_c2023
300 _a1 v. ( xv, 361 p.)
_c24 cm.
490 0 _aCambridge studies in advanced mathematics ;
_v205
500 _a"Originally published in Russian as Algebraicheskie gruppy i teorii︠a︡ chisel by Nauka Publishing House in 1991. © Nauka, 1991. First published in English by Academic Press, Inc. 1994. English translation © 1994 by Academic Press, Inc."-- copyright page.
504 _aIncludes bibliographical references and index.
520 _aThe first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. This revised second edition, now published in two volumes, retains the same goals, while incorporating corrections and improvements, as well as new material covering more recent developments. Volume I begins with chapters covering background material on number theory, algebraic groups, and cohomology (both abelian and non-abelian), and then turns to algebraic groups over locally compact fields. The remaining two chapters provide a detailed treatment of arithmetic subgroups and reduction theory in both the real and adelic settings. Volume I includes new material on groups with bounded generation and abstract arithmetic groups. With minimal prerequisites and complete proofs given whenever possible, this book is suitable for self-study for graduate students wishing to learn the subject as well as a reference for researchers in number theory, algebraic geometry, and related areas.
650 0 _aLinear algebraic groups.
_9811517
650 0 _aNumber theory.
_9434274
650 0 _aAdeles.
_9811518
700 1 _aRapinchuk, A. S.
_eco- author.
_9811519
700 1 _aRapinchuk, Igor,
_d1985-
_eco- author.
_9811520
700 1 _aRowen, Rachel,
_etranslator.
_9811521
942 _2CC
_n0
_cTEXL
_hB27 R3 NBHM
999 _c1431349
_d1431349