Finite-Dimensional Division Algebras Over Fields

by Nathan Jacobson

Book Overview

These algebras determine, by the Sliedderburn 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. Sie shall be interested in these algebras which have an involution. Algebras with involution arose first in the study of the so-called .'multiplication algebras of Riemann matrices". Albert undertook their study at the behest of...

• Format: Paperback
• Language: English
• ISBN: 3662308835
• ISBN13: 9783662308837
• Release Date: August 2014
• Publisher: Springer
• Length: 284 Pages
• Weight: 0.90 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"