| 书目名称 | Introduction to Affine Group Schemes |
| 编辑 | William C. Waterhouse |
| 视频video | http://file.papertrans.cn/474/473386/473386.mp4 |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre‘ KHAYYAM People investigating algebraic groups have studied the same objects in many different guises. My first goal thus has been to take three different viewpoints and demonstrate how they offer complementary intuitive insight into the subject. In Part I we begin with a functorial idea, discussing some familiar processes for constructing groups. These turn out to be equivalent to the ring-theoretic objects called Hopf algebras, with which we can then con struct new examples. Study of their representations shows that they are closely related to groups of matrices, and closed sets in matrix space give us a geometric picture of some of the objects involved. This interplay of methods continues as we turn to specific results. In Part II, a geometric idea (connectedness) and one from classical matrix theory (Jordan decomposition) blend with the study of separable algebras. In Part III, a notion of differential prompted by the theory of Lie groups is used to prove the absence of nilpotents in certain Hopf algebras. The ring-theoretic work on faithful flatness in Part IV turns out to give the true ex |
| 出版日期 | Textbook 1979 |
| 关键词 | Abelian group; Algebra; Algebraic structure; Derivation; Finite; Gruppenschema; Invariant; Morphism; Topolog |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-6217-6 |
| isbn_softcover | 978-1-4612-6219-0 |
| isbn_ebook | 978-1-4612-6217-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York Inc. 1979 |
|Archiver|手机版|小黑屋|
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