Algebraic Groups and Number Theory
暫譯: 代數群與數論
Platonov, Vladimir, Rapinchuk, Andrei, Rapinchuk, Igor
- 出版商: Cambridge
- 出版日期: 2023-11-02
- 售價: $2,520
- 貴賓價: 9.5 折 $2,394
- 語言: 英文
- 頁數: 381
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 052111361X
- ISBN-13: 9780521113618
海外代購書籍(需單獨結帳)
商品描述
The 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.
商品描述(中文翻譯)
本書的第一版提供了代數群的算術理論的首次系統性闡述。這一修訂的第二版現在以兩卷本出版,保留了相同的目標,同時納入了修正和改進,以及涵蓋最新發展的新材料。第一卷以數論、代數群和同調(包括阿貝爾和非阿貝爾)背景材料的章節開始,然後轉向局部緊湊域上的代數群。剩下的兩個章節詳細處理了算術子群和在實數及阿德利環境中的約化理論。第一卷包括有關有界生成群和抽象算術群的新材料。該書的前提要求最低,並在可能的情況下提供完整的證明,適合希望自學該主題的研究生以及數論、代數幾何和相關領域的研究人員作為參考。