Algebraic Groups and Number Theory Platonov Vladimir
Algebraic Groups and Number Theory Platonov Vladimir The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. Volume I begins with…
Specifikacia Algebraic Groups and Number Theory Platonov Vladimir
Algebraic Groups and Number Theory Platonov Vladimir
The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. 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. 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 II includes new material on groups with bounded generation and abstract arithmetic groups. The remaining two chapters provide a detailed treatment of arithmetic subgroups and reduction theory in both the real and adelic settings. With minimal prerequisites and complete proofs given whenever possible, this book is suitable for self-study for graduate students wishing to