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Algebraic groups: the theory of group schemes of finite type over a field

Algebraic groups: the theory of group schemes of finite type over a field
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Catalogue Information
Nome campo dettagli
Dewey Class 516.35
Titolo Algebraic groups : the theory of group schemes of finite type over a field (M) / J. S. Milne
Autore Milne, James S. , 1942-
Pubblicazione Cambridge, U.K. : Cambridge University Press , 2017
Physical Details xvi, 644 pages : 5 b/w illus. 95 exercises ; 23 cm
Serie Cambridge studies in advanced mathematics ; 170
ISBN 9781107167483
Nota Online publication date:October 2017
Summary Note 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.:
System details note Online access to the digital version of this printed book is available only to subscription institutions through IP address (only for SISSA internal users)
Link alle Opere Legate
  • Riferimenti soggetto: .
  • Geometry, Algebraic .
  • Group theory .
  • Linear algebraic groups .

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    0000000043902 512.7 MIL
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