Finite-dimensional division algebras over fields

Nathan Jacobson

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.

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  • 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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書名 Finite-dimensional division algebras over fields
著作者等 Jacobson, Nathan
Cohn, P. M. (Paul Moritz)
出版元 Springer
刊行年月 c2010
版表示 Corr. 2nd print
ページ数 viii, 283 p.
大きさ 24 cm
ISBN 9783540570295
NCID BB11418539
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言語 英語
出版国 ドイツ