This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Brian Conrad is a Professor in the Department of Mathematics at Stanford University.
Inhaltsangabe
Preface to the second edition Introduction Terminology, conventions, and notation Part I. Constructions, Examples, and Structure Theory: 1. Overview of pseudo-reductivity 2. Root groups and root systems 3. Basic structure theory Part II. Standard Presentations and Their Applications: 4. Variation of (G', k'/k, T', C) 5. Ubiquity of the standard construction 6. Classification results Part III. General Classification and Applications: 7. The exotic constructions 8. Preparations for classification in characteristics 2 and 3 9. Absolutely pseudo-simple groups in characteristic 2 10. General case 11. Applications Part IV. Appendices: A. Background in linear algebraic groups B. Tits' work on unipotent groups in nonzero characteristic C. Rational conjugacy in connected groups References Index.
Preface to the second edition Introduction Terminology, conventions, and notation Part I. Constructions, Examples, and Structure Theory: 1. Overview of pseudo-reductivity 2. Root groups and root systems 3. Basic structure theory Part II. Standard Presentations and Their Applications: 4. Variation of (G', k'/k, T', C) 5. Ubiquity of the standard construction 6. Classification results Part III. General Classification and Applications: 7. The exotic constructions 8. Preparations for classification in characteristics 2 and 3 9. Absolutely pseudo-simple groups in characteristic 2 10. General case 11. Applications Part IV. Appendices: A. Background in linear algebraic groups B. Tits' work on unipotent groups in nonzero characteristic C. Rational conjugacy in connected groups References Index.
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