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Algebraic Groups

The Theory Of Group Schemes Of Finite Type Over A Field

Algebraic Groups - Milne, J. S. (university Of Michigan, Ann Arbor) - ISBN: 9781107167483
Prijs: € 101,00
Levertijd: 3 tot 5 werkdagen
Bindwijze: Boek, Gebonden
Genre: Wiskunde algemeen
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Beschrijving

Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.

Details

Titel: Algebraic Groups
auteur: Milne, J. S. (university Of Michigan, Ann Arbor)
Mediatype: Boek
Bindwijze: Gebonden
Taal: Engels
Aantal pagina's: 660
Uitgever: Cambridge University Press
Plaats van publicatie: 03
NUR: Wiskunde algemeen
Afmetingen: 228 x 152 x 41
Gewicht: 1050 gr
ISBN/ISBN13: 9781107167483
Intern nummer: 39111771

Biografie (woord)

J. S. Milne is Professor Emeritus at the University of Michigan, Ann Arbor. His previous books include Etale Cohomology (1980) and Arithmetic Duality Theorems (2006).

Inhoudsopgave

Introduction; 1. Definitions and basic properties; 2. Examples and basic constructions; 3. Affine algebraic groups and Hopf algebras; 4. Linear representations of algebraic groups; 5. Group theory: the isomorphism theorems; 6. Subnormal series: solvable and nilpotent algebraic groups; 7. Algebraic groups acting on schemes; 8. The structure of general algebraic groups; 9. Tannaka duality: Jordan decompositions; 10. The Lie algebra of an algebraic group; 11. Finite group schemes; 12. Groups of multiplicative type: linearly reductive groups; 13. Tori acting on schemes; 14. Unipotent algebraic groups; 15. Cohomology and extensions; 16. The structure of solvable algebraic groups; 17. Borel subgroups and applications; 18. The geometry of algebraic groups; 19. Semisimple and reductive groups; 20. Algebraic groups of semisimple rank one; 21. Split reductive groups; 22. Representations of reductive groups; 23. The isogeny and existence theorems; 24. Construction of the semisimple groups; 25. Additional topics; Appendix A. Review of algebraic geometry; Appendix B. Existence of quotients of algebraic groups; Appendix C. Root data; Bibliography; Index.

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