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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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Field name Details
Dewey Class 516.35
Title Algebraic groups : the theory of group schemes of finite type over a field (M) / J. S. Milne
Author Milne, James S. , 1942-
Publication Cambridge, U.K. : Cambridge University Press , 2017
Physical Details xvi, 644 pages : 5 b/w illus. 95 exercises ; 23 cm
Series Cambridge studies in advanced mathematics ; 170
ISBN 9781107167483
Note 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.:
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Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000043902 512.7 MIL General   SISSA . . Available .  
. Catalogue Record 37624 ItemInfo Beginning of record . Catalogue Record 37624 ItemInfo Top of page .


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