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Titlebook: Complex Semisimple Lie Algebras; Jean-Pierre Serre Book 1987 Springer Science+Business Media New York 1987 algebra.lie algebra.lie group.r

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發(fā)表于 2025-3-21 19:36:57 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Complex Semisimple Lie Algebras
編輯Jean-Pierre Serre
視頻videohttp://file.papertrans.cn/232/231533/231533.mp4
圖書封面Titlebook: Complex Semisimple Lie Algebras;  Jean-Pierre Serre Book 1987 Springer Science+Business Media New York 1987 algebra.lie algebra.lie group.r
描述These notes are a record of a course given in Algiers from lOth to 21st May, 1965. Their contents are as follows. The first two chapters are a summary, without proofs, of the general properties of nilpotent, solvable, and semisimple Lie algebras. These are well-known results, for which the reader can refer to, for example, Chapter I of Bourbaki or my Harvard notes. The theory of complex semisimple algebras occupies Chapters III and IV. The proofs of the main theorems are essentially complete; however, I have also found it useful to mention some complementary results without proof. These are indicated by an asterisk, and the proofs can be found in Bourbaki, Groupes et Algebres de Lie, Paris, Hermann, 1960-1975, Chapters IV-VIII. A final chapter shows, without proof, how to pass from Lie algebras to Lie groups (complex-and also compact). It is just an introduction, aimed at guiding the reader towards the topology of Lie groups and the theory of algebraic groups. I am happy to thank MM. Pierre Gigord and Daniel Lehmann, who wrote up a first draft of these notes, and also Mlle. Franr,:oise Pecha who was responsible for the typing of the manuscript.
出版日期Book 1987
關(guān)鍵詞algebra; lie algebra; lie group; representation theory
版次1
doihttps://doi.org/10.1007/978-1-4757-3910-7
isbn_softcover978-0-387-96569-7
isbn_ebook978-1-4757-3910-7
copyrightSpringer Science+Business Media New York 1987
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板凳
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地板
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ng the reader towards the topology of Lie groups and the theory of algebraic groups. I am happy to thank MM. Pierre Gigord and Daniel Lehmann, who wrote up a first draft of these notes, and also Mlle. Franr,:oise Pecha who was responsible for the typing of the manuscript.978-0-387-96569-7978-1-4757-3910-7
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發(fā)表于 2025-3-22 09:47:02 | 只看該作者
Historische Entwicklung von VerkehrsnetzenThe Lie algebras considered in this chapter are finite-dimensional algebras over a field .. In Secs. 7 and 8 we assume that . has characteristic O. The Lie bracket of . and y is denoted by [.], and the map y ? [.] by ad ..
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7#
發(fā)表于 2025-3-22 19:49:38 | 只看該作者
Gerd Steierwald,Hans-Dieter KünneIn this chapter (apart from Sec. 6) the ground field is the field . of complex numbers. The Lie algebras considered are finite dimensional.
8#
發(fā)表于 2025-3-23 00:53:39 | 只看該作者
Folgen und Wirkungen des VerkehrsIn this chapter (apart from Sec. 6) the ground field is the field C of complex numbers.
9#
發(fā)表于 2025-3-23 05:24:11 | 只看該作者
Erhebungen zur VerkehrsnachfrageIn this chapter (apart from Sec. 17) the ground field is the field . of real numbers. The vector spaces considered are all finite dimensional.
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