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The albert algebra of generic matrices

 

作者: Holger P. Petersson,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 8  

页码: 3703-3717

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826657

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

We define the Albert algebra of generic matrices and show that its central closure is an Albert division algebra as well as a pure second Tits construction. It contains a cyclic cubic subfield iff this holds true for every Albert division algebra over any extension of the base field.

 

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