Introduction to Affine Group Schemes [1 ed.] 0387904212, 9780387904214
Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre' KHAYYAM People investigati
287 87 3MB
English Pages 164 [174] Year 1979
Table of contents :
Front Matter....Pages i-xi
Front Matter....Pages 1-1
Affine Group Schemes....Pages 3-12
Affine Group Schemes: Examples....Pages 13-20
Representations....Pages 21-27
Algebraic Matrix Groups....Pages 28-35
Front Matter....Pages 37-37
Irreducible and Connected Components....Pages 39-45
Connected Components and Separable Algebras....Pages 46-53
Groups of Multiplicative Type....Pages 54-61
Unipotent Groups....Pages 62-67
Jordan Decomposition....Pages 68-72
Nilpotent and Solvable Groups....Pages 73-79
Front Matter....Pages 81-81
Differentials....Pages 83-91
Lie Algebras....Pages 92-100
Front Matter....Pages 101-101
Faithful Flatness....Pages 103-108
Faithful Flatness of Hopf Algebras....Pages 109-113
Quotient Maps....Pages 114-120
Construction of Quotients....Pages 121-127
Front Matter....Pages 129-129
Descent Theory Formalism....Pages 131-139
Descent Theory Computations....Pages 140-150
Back Matter....Pages 151-164
Front Matter....Pages i-xi
Front Matter....Pages 1-1
Affine Group Schemes....Pages 3-12
Affine Group Schemes: Examples....Pages 13-20
Representations....Pages 21-27
Algebraic Matrix Groups....Pages 28-35
Front Matter....Pages 37-37
Irreducible and Connected Components....Pages 39-45
Connected Components and Separable Algebras....Pages 46-53
Groups of Multiplicative Type....Pages 54-61
Unipotent Groups....Pages 62-67
Jordan Decomposition....Pages 68-72
Nilpotent and Solvable Groups....Pages 73-79
Front Matter....Pages 81-81
Differentials....Pages 83-91
Lie Algebras....Pages 92-100
Front Matter....Pages 101-101
Faithful Flatness....Pages 103-108
Faithful Flatness of Hopf Algebras....Pages 109-113
Quotient Maps....Pages 114-120
Construction of Quotients....Pages 121-127
Front Matter....Pages 129-129
Descent Theory Formalism....Pages 131-139
Descent Theory Computations....Pages 140-150
Back Matter....Pages 151-164
![Introduction to Affine Group Schemes [1 ed.]
0387904212, 9780387904214](https://ebin.pub/img/200x200/introduction-to-affine-group-schemes-1nbsped-0387904212-9780387904214.jpg)
![An Introduction to Group Theory [October 6, 2022 ed.]](https://ebin.pub/img/200x200/an-introduction-to-group-theory-october-6-2022nbsped.jpg)
![Algebraic groups: The theory of group schemes of finite type over a field [Corrected reprint]
9781009018586](https://ebin.pub/img/200x200/algebraic-groups-the-theory-of-group-schemes-of-finite-type-over-a-field-corrected-reprint-9781009018586.jpg)
![An introduction to group work practice [Eighth edition]
9780134058962, 1292160284, 9781292160283, 0134058968](https://ebin.pub/img/200x200/an-introduction-to-group-work-practice-eighth-edition-9780134058962-1292160284-9781292160283-0134058968.jpg)
![Introduction to Group Counseling: A Culturally Sustaining and Inclusive Framework [1 ed.]
0826186068, 9780826186065](https://ebin.pub/img/200x200/introduction-to-group-counseling-a-culturally-sustaining-and-inclusive-framework-1nbsped-0826186068-9780826186065.jpg)