The book of involutions
著者
書誌事項
The book of involutions
（Colloquium publications / American Mathematical Society, v. 44）
American Mathematical Society, c1998
大学図書館所蔵 件 / 全49件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes index
内容説明・目次
内容説明
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.It's features include: 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; and, rational methods that allow possible generalization to more general base rings.
目次
Involutions and Hermitian forms Invariants of involutions Similitudes Algebras of degree four Algebras of degree three Algebraic groups Galois cohomology Composition and triality Cubic Jordan algebras Trialitarian central simple algebras Bibliography Index Notation.
「Nielsen BookData」 より