The Book of Involutions is popular PDF and ePub book, written by Max-Albert Knus in 1998-06-30, 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 Book of Involutions can be Read Online from any device for your convenience.
The Book of Involutions Book PDF Summary
This monograph is an exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. It provides the algebra-theoretic foundations for much of the recent work on linear algebraic groups over arbitrary fields. Involutions are viewed as twisted forms of (hermitian) quadrics, leading to new developments on the model of the algebraic theory of quadratic forms. In addition to classical groups, phenomena related to triality are also discussed, as well as groups of type $F_4$ or $G_2$ arising from exceptional Jordan or composition algebras. Several results and notions appear here for the first time, notably the discriminant algebra of an algebra with unitary involution and the algebra-theoretic counterpart to linear groups of type $D_4$. This volume also contains a Bibliography and Index. Features: original material not in print elsewhere a comprehensive discussion of algebra-theoretic and group-theoretic aspects extensive notes that give historical perspective and a survey on the literature rational methods that allow possible generalization to more general base rings
Detail Book of The Book of Involutions PDF
- Author : Max-Albert Knus
- Release : 30 June 1998
- Publisher : American Mathematical Soc.
- ISBN : 0821873210
- Genre : Mathematics
- Total Page : 624 pages
- Language : English
- PDF File Size : 16,8 Mb
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