Finite-Dimensional Division Algebras Over Fields Tapa dura - 1996
de Nathan Jacobson
Descripción de contraportada
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).
Detalles
- Título Finite-Dimensional Division Algebras Over Fields
- Autor Nathan Jacobson
- Encuadernación Tapa dura
- Edición 1st ed. 1996. Co
- Páginas 284
- Volúmenes 1
- Idioma ENG
- Editorial Springer, Berlin/Heidelberg/New York/Tokyo
- Fecha de publicación 1996-10-21
- Ilustrado Sí
- Features Illustrated
- ISBN 9783540570295 / 3540570292
- Peso 1.29 libras (0.59 kg)
- Dimensiones 9.21 x 6.14 x 0.69 pulgadas (23.39 x 15.60 x 1.75 cm)
- Número de catálogo de la Librería del Congreso de EEUU 96031625
- Dewey Decimal Code 512.24
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