| 书目名称 | Finite-Dimensional Division Algebras over Fields |
| 编辑 | Nathan Jacobson |
| 视频video | |
| 概述 | Includes supplementary material: |
| 图书封面 |  |
| 描述 | These algebras determine, by the Sliedderburn Theorem. the semi-simple finite dimensional algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brauer-Severi varieties. Sie shall be interested in these algebras which have an involution. Algebras with involution arose first in the study of the so-called .‘multiplication algebras of Riemann matrices". Albert undertook their study at the behest of Lefschetz. He solved the problem of determining these algebras. The problem has an algebraic part and an arithmetic part which can be solved only by determining the finite dimensional simple algebras over an algebraic number field. We are not going to consider the arithmetic part but will be interested only in the algebraic part. In Albert‘s classical book (1939). both parts are treated. A quick survey of our Table of Contents will indicate the scope of the present volume. The largest part of our book is the fifth chapter which deals with invo- torial rimple algebras of finite dimension over a field. Of particular interest are the Jordan algebras determined by these algebras with involution. Their structure is determined and two importan |
| 出版日期 | Textbook 1996 |
| 关键词 | Associative Rings; Commutative Rings; Nonassociative; Ring Theory; algebra; associative ring; commutative |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-02429-0 |
| isbn_softcover | 978-3-662-30883-7 |
| isbn_ebook | 978-3-642-02429-0 |
| copyright | Springer-Verlag Berlin Heidelberg 1996 |
发表于 2025-3-21 18:21:45
