Finite-Dimensional Division Algebras over Fields

Paperback Engels 2014 9783662308837
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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.

Specificaties

ISBN13:9783662308837
Taal:Engels
Bindwijze:paperback
Aantal pagina's:284
Uitgever:Springer Berlin Heidelberg
Druk:0

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Inhoudsopgave

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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        Finite-Dimensional Division Algebras over Fields