A Survey of the Classification of Division Algebras

For a given field F we seek all division algebras over F up to isomorphism. This question was first investigated for division algebras of finite dimension over F by Richard Brauer. We discuss the construction of the Brauer group and some examples. Crossed products and PI algebras are then introduced...

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Bibliographic Details
Main Author: Ashburner, Michelle Roshan Marie
Language:en
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/10012/4072