An edition of Finite-dimensional division algebras over fields (1996)

Finite-dimensional division algebras over fields

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Cover of: Finite-dimensional division algebras over fields by Nathan Jacobson, Nathan Jacobson
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Last edited by MARC Bot
August 6, 2024 | History
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An edition of Finite-dimensional division algebras over fields (1996)

Finite-dimensional division algebras over fields

by

Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensional algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brauer-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 involutorial 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.

Publish Date
Publisher
Springer
Language
English
Pages
278

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Previews available in: English

Subjects

Division algebras, Algebraic fields, Christian life, Algebra

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Cover of: Finite-dimensional division algebras over fields
Finite-dimensional division algebras over fields
1996, Springer
in English
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Book Details

Edition Notes

Includes bibliographical references (p. 275-278)

Published in
Berlin, New York

Classifications

Dewey Decimal Class
512/.24
Library of Congress
QA247.45 .J33 1996, QA150-272, BV4500 .D6 1840

The Physical Object

Pagination
viii, 278 p. ;
Number of pages
278

ID Numbers

Open Library
OL993122M
Internet Archive
finitedimensiona00jaco
ISBN 10
3540570292
LCCN
tmp96031625, 96031625
OCLC/WorldCat
35095954
Goodreads
4945421

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
August 6, 2024 Edited by MARC Bot import existing book
August 19, 2022 Edited by MARC Bot normalize LCCNs
September 6, 2021 Edited by MARC Bot import existing book
November 23, 2020 Edited by MARC Bot import existing book
April 1, 2008 Created by an anonymous user Imported from Scriblio MARC record