The Arithmetics of Quadratic Jordan Algebras is popular PDF and ePub book, written by Michel L. Racine in 1973, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Arithmetics of Quadratic Jordan Algebras can be Read Online from any device for your convenience.
The Arithmetics of Quadratic Jordan Algebras Book PDF Summary
The first step in obtaining an arithmetic theory for finite dimensional quadratic Jordan algebras over the quotient field of a Dedekind ring is the determination of maximal orders. This is the main concern of this paper. Jordan analogues of some of the first theorems in classical associative arithmetic are obtained. For special quadratic Jordan algebras, the problem of determining maximal orders is reduced to arithmetic questions in quadratic forms and associative algebras with involution. The number of isomorphism classes of maximal orders is computed for most central simple quadratic Jordan algebras over a local field. In the process, previous results of Knebusch are obtained in a uniform fashion and are extended to the case of algebras over fields of characteristic 2 and 3.
Detail Book of The Arithmetics of Quadratic Jordan Algebras PDF
- Author : Michel L. Racine
- Release : 01 October 1973
- Publisher : American Mathematical Soc.
- ISBN : 9780821818367
- Genre : Mathematics
- Total Page : 134 pages
- Language : English
- PDF File Size : 18,7 Mb
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