Introduction to Algebraic Groups

Author: Li Jinghui
Publisher:
Publish Date: 2006-09-01
Features: This book is divided into three parts. The first part introduces linear algebraic groups defined over algebraically closed fields, primarily discussing root systems, and explores the Galois cohomology theory and arithmetic properties of linear algebraic groups. The second part discusses group schemes, divided into two sections: the first two chapters cover finite group schemes, while the remaining three chapters present the basic theory of Abelian schemes. The third part discusses the arithmetic properties of algebraic tori and introduces the reciprocity law to algebraic rings.