Finite Group Schemes
by Richard Pink
Publisher: ETH Zurich 2005
Number of pages: 78
Description:
The aim of the lecture course is the classification of finite commutative group schemes over a perfect field of characteristic p, using the classical approach by contravariant Dieudonne theory. The theory is developed from scratch; emphasis is placed on complete proofs. No prerequisites other than a good knowledge of algebra and the basic properties of categories and schemes are required.
Download or read it online for free here:
Download link
(550KB, PDF)
Similar books
Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equationsby K. Yosida - Tata Institute of Fundamental Research
In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and their applications to the initial value problem for differential equations.
(14686 views)
An Elementary Introduction to Groups and Representationsby Brian C. Hall - arXiv
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
(21876 views)
Theory and Applications of Finite Groupsby G. A. Miller, H. F. Blichfeldt, L. E. Dickson - J. Wiley
The book presents in a unified manner the more fundamental aspects of finite groups and their applications, and at the same time preserves the advantage which arises when each branch of an extensive subject is written by a specialist in that branch.
(10210 views)
Galois Groups and Fundamental Groupsby David Meredith - San Francisco State University
This course brings together two areas of mathematics that each concern symmetry -- symmetry in algebra, in the case of Galois theory; and symmetry in geometry, in the case of fundamental groups. Prerequisites are courses in algebra and analysis.
(13681 views)