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Skew Fields : London Mathematical Society Lecture Note Series - P. K. Draxl

Skew Fields

London Mathematical Society Lecture Note Series

Paperback

Published: 18th April 1983
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The book is written in three parts. Part I consists of preparatory work on algebras, needed in Parts II and III. This material is presented in a classical, though unusual, way. Part II consists of a modern description of the theory of Brauer groups over fields (from as elementary a point of view as possible). Part III covers some new developments in the theory which, until now, have not been available except in journals. The principal topic discussed in this section is reduced K,-theory. This book will be of interest to graduate students in pure mathematics and to professional mathematicians.

Skew Fields and Simple Rings
Some ad hoc Results on Skew Fields
Rings of Matrices over Skew Fields
Simple Rings and Wedderburn's Main Theorem
A Short Cut to Tensor Products
Tensor Products and Algebras
Tensor Products and Galois Theory
Skolem-Noether Theorem and Centralizer Theorem
The Corestriction of Algebras
Skew Fields and Brauer Groups
Brauer Groups over Fields
Cyclic Algebras
Power Norm Residue Algebras
Brauer Groups and Galois Cohomology
The Formalism of Crossed Products
Quaternion Algebras
p-Algebras
Skew Fields with Involution
Brauer Groups and K2-Theory of Fields
A Survey of some further Results
Reduced K1-Theory of Skew Fields
The Bruhat Normal Form
The Dieudonne Determinant
The Structure of SL (D) for n >2
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521272742
ISBN-10: 0521272742
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 196
Published: 18th April 1983
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.1
Weight (kg): 0.3