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Home » Books » Science » Mathematics » Algebra » General

Finite-Dimensional Division Algebras Over Fields

By Nathan Jacobson

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Format: Paperback, 284 pages, Softcover reprint of Edition
Other Information: biography
Published In: Germany, 01 August 2014
Here, the eminent algebraist, Nathan Jacobsen, concentrates on those algebras that have an involution. Although they appear in many contexts, these algebras first arose in the study of the so-called "multiplication algebras of Riemann matrices". Of particular interest are the Jordan algebras determined by such algebras, and thus their structure is discussed in detail. Two important concepts also dealt with are the universal enveloping algebras and the reduced norm. However, the largest part of the book is the fifth chapter, which focuses on involutorial simple algebras of finite dimension over a field.

Table of Contents

Skew Polynomials and Division Algebras.- Brauer Factor Sets and Noether Factor Sets.- Galois Descent and Generic Splitting Fields.- p-Algebras.- Simple Algebras with Involution.

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Reviews

"...the author takes us on a tour of division algebras, pointing out the salient facts, often with little-known proofs, but never going on so long as to bore the reader. This makes the book a pleasure to read" Bulletin of the London Mathematical Society

EAN: 9783662308837
ISBN: 3662308835
Publisher: Springer
Dimensions: 23.5 x 15.5 x 1.5 centimetres (0.44 kg)
Age Range: 15+ years
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