000			02043cam a22003018i 4500
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005			20250620142036.0
008			250619b |||||||| |||| 00| 0 eng d
020			_a9780521113618
040			_aCSL _cCSL
041	1		_aeng _2eng
084			_aB27 R3.1 _qCSL
100	1		_aPlatonov, Vladimir _eauthor. _9813208
245	1	0	_aAlgebraic groups and number theory
250			_a2nd ed.
260			_aCambridge : _bCambridge University Press, _c2023.
300			_a1 v. (xv, 361 p.) _b: ill. _c; 23 cm.
490			_aCambridge studies in advanced mathematics
500			_aIncludes bibliography 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	_aAlgebraic groups. _9458232
650		0	_aArithmetic groups. _9813209
650		0	_aNumber theory. _9434274
700	1		_aRapinchuk, Andrei _eco-author. _9813210
700	1		_aRapinchuk, Igor _eco-author. _9813211
942			_2CC _cTEXL _e2nd ed. _hB27 R3.1 _n0
999			_c1431906 _d1431906