Finite-Dimensional Division Algebras Over Fields Hardcover - 1996
by Nathan Jacobson
From the rear cover
Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= er-Severi varieties. The book concentrates on those algebras that have an involution. Algebras with involution appear in many contexts;they arose first in the study of the so-called "multiplication algebras of Riemann matrices". The largest part of the book is the fifth chapter, dealing with involu= torial simple algebras of finite dimension over a field. Of particular interest are the Jordan algebras determined by these algebras with involution;their structure is discussed. Two important concepts of these algebras with involution are the universal enveloping algebras and the reduced norm.
Corrections of the 1st edition (1996) carried out on behalf of N. Jacobson (deceased) by Prof. P.M. Cohn (UC London, UK).
Details
- Title Finite-Dimensional Division Algebras Over Fields
- Author Nathan Jacobson
- Binding Hardcover
- Edition 1st ed. 1996. Co
- Pages 284
- Volumes 1
- Language ENG
- Publisher Springer, Berlin/Heidelberg/New York/Tokyo
- Date 1996-10-21
- Illustrated Yes
- Features Illustrated
- ISBN 9783540570295 / 3540570292
- Weight 1.29 lbs (0.59 kg)
- Dimensions 9.21 x 6.14 x 0.69 in (23.39 x 15.60 x 1.75 cm)
- Library of Congress Catalog Number 96031625
- Dewey Decimal Code 512.24
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