Download Maximal Orders PDF Free - Full Version
Download Maximal Orders by Irving Reiner in PDF format completely FREE. No registration required, no payment needed. Get instant access to this valuable resource on PDFdrive.to!
About Maximal Orders
This is a reissue of a classic text, which includes the author's own corrections and provides a very accessible, self contained introduction to the classical theory of orders and maximal orders over a Dedekind ring. It starts wtih a long chapter that provides the algebraic prerequisites for this theory, covering basic material on Dedekind domains, localizations and completions as well as semisimple rings and separable algebras. This is followed by an introduction to the basic tools in studying orders, such as reduced norms and traces, discriminants, and localization of orders. The theory of maximal orders is then developed in the local case, first in a complete setting, and then over any discrete valuation ring. This paves the way to a chapter on the ideal theory in global maximal orders with detailed expositions on ideal classes, the jordan-Zassenhaus Theorum and genera. This is followed by a chapter on Brauer groups and crossed product algebras, where Hasse's theory of cyclic algebras over local fields is presented in a clear and self-contained fashion. Assuming a couple of facts from class field theory, the book goes on to present the theory of simple algebras over global fields covering in particular Eichler's Theorum on the ideal classes in a maximal order, as well as various results on the KO group and Picard group of orders. The rest of the book is devoted to a discussion of non-maximal orders, with particular emphasis on hereditary orders and group rings. The ideas collected in this book have found important applications in the smooth representation theory of reductive p-adic groups. This text provides a useful introduction to this wide range of topics. It is written at a level suitable for beginning postgraduate students, is highly suited to class teaching and provides a wealth of exercises.
Detailed Information
| Author: | Irving Reiner |
|---|---|
| Publication Year: | 2003 |
| ISBN: | 9780125866507 |
| Pages: | 403 |
| Language: | English |
| File Size: | 5.773 |
| Format: | |
| Price: | FREE |
Safe & Secure Download - No registration required
Why Choose PDFdrive for Your Free Maximal Orders Download?
- 100% Free: No hidden fees or subscriptions required for one book every day.
- No Registration: Immediate access is available without creating accounts for one book every day.
- Safe and Secure: Clean downloads without malware or viruses
- Multiple Formats: PDF, MOBI, Mpub,... optimized for all devices
- Educational Resource: Supporting knowledge sharing and learning
Frequently Asked Questions
Is it really free to download Maximal Orders PDF?
Yes, on https://PDFdrive.to you can download Maximal Orders by Irving Reiner completely free. We don't require any payment, subscription, or registration to access this PDF file. For 3 books every day.
How can I read Maximal Orders on my mobile device?
After downloading Maximal Orders PDF, you can open it with any PDF reader app on your phone or tablet. We recommend using Adobe Acrobat Reader, Apple Books, or Google Play Books for the best reading experience.
Is this the full version of Maximal Orders?
Yes, this is the complete PDF version of Maximal Orders by Irving Reiner. You will be able to read the entire content as in the printed version without missing any pages.
Is it legal to download Maximal Orders PDF for free?
https://PDFdrive.to provides links to free educational resources available online. We do not store any files on our servers. Please be aware of copyright laws in your country before downloading.
The materials shared are intended for research, educational, and personal use in accordance with fair use principles.
