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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Language: | en |
Published: |
2008
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Online Access: | http://hdl.handle.net/10012/4072 |