Algebraic Groups

This comprehensive textbook provides a modern introduction to the theory of algebraic group schemes over fields, bridging classical group theory with contemporary algebraic geometry. Covering fundamental topics such as algebraic groups, Lie algebras, finite group schemes, reductive and solvable groups, and key results like the Barsotti–Chevalley Theorem and Borel–Chevalley Structure Theory, the book develops the structure theory of algebraic groups in a clear and accessible manner. With minimal prerequisites and a focus on modern geometric methods, it serves as an excellent resource for graduate students, researchers, and non-specialists seeking a solid foundation in algebraic group theory.