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Representations and Invariants of the Classical Groups(Encyclopedia of Mathematics and its Applications Vol. 68) 703 p. '79

Goodman, R., Wallach, N. 　著

絶版
価格 \-

発行年月	1998年01月
出版社／提供元	Cambridge University Press
出版国	イギリス
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	703 p.
ジャンル	洋書／理工学／数学／代数学
ISBN	9780521582735
商品コード	0209742051
本の性格	テキスト
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0209742051

内容

Presents an updated version of Weyl's invariant theory of the classicalgroups, together with many of the important recent developments.

1. Classical groups as linear algebraic groups; 2. Basic structure ofclassical groups; 3. Algebras and representations; 4. Polynomials and tensorinvariants; 5. Highest weight theory; 6. Spinors; 7. Cohomology andcharacters; 8. Branching laws; 9. Tensor representations of GL(V); 10. Tensorrepresenations of O(V) and Sp(V); 11. Algebraic groups and homogeneousspaces; 12. Representations on Aff(X); A. Algebraic geometry; B. Linear andmultilinear algebra; C. Associative algebras and Lie algebras; D. Manifoldsand Lie groups.