The Book of Involutions

Released on by Max-Albert Knus
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  • The Book of Involutions Book Detail

  • Author : Max-Albert Knus
  • Release Date : 1998-06-30
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 624
  • ISBN 13 : 9780821873212
  • File Size : 23,23 MB
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The Book of Involutions by Max-Albert Knus PDF Summary

Book Description: 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

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The Book of Involutions

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This monograph is an exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. It provides the algebra-theore

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Written for graduate students and research mathematicians, this monograph is an exposition of the theory of central simple algebras with involution, in relation

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The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its

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This book contains the results of work done during the years 1967-1970 on fixed-point-free involutions on manifolds, and is an enlarged version of the author's