<電子ブック>
Jordan Algebras and Algebraic Groups / by Tonny A. Springer
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, A Series of Modern Surveys in Mathematics)
版 | 1st ed. 1998. |
---|---|
出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 1998 |
本文言語 | 英語 |
大きさ | VII, 173 p : online resource |
著者標目 | *Springer, Tonny A author SpringerLink (Online service) |
件 名 | LCSH:Nonassociative rings LCSH:Group theory FREE:Non-associative Rings and Algebras FREE:Group Theory and Generalizations |
一般注記 | § 0. Preliminaries -- § 1. J-structures -- § 2. Examples -- § 3. The Quadratic Map of a J-structure -- § 4. The Lie Algebras Associated with a J-structure -- § 5. J-structures of Low Degree -- § 6. Relation with Jordan Algebras (Characteristic ? 2) -- § 7. Relation with Quadratic Jordan Algebras -- § 8. The Minimum Polynomial of an Element -- § 9. Ideals, the Radical -- §10. Peirce Decomposition Defined by an Idempotent Element -- §11. Classification of Certain Algebraic Groups -- §12. Strongly Simple J-structures -- §13. Simple J-structures -- §14. The Structure Group of a Simple J-structure and the Related Lie Algebras -- §15. Rationality Questions From the reviews: "This book presents an important and novel approach to Jordan algebras. Jordan algebras have come to play a role in many areas of mathematics, including Lie algebras and the geometry of Chevalley groups. Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finite-dimensional algebras over fields." (American Scientist) "By placing the classification of Jordan algebras in the perspective of classification of certain root systems, the book demonstrates that the structure theories associative, Lie, and Jordan algebras are not separate creations but rather instances of the one all-encompassing miracle of root systems. ..." (Math. Reviews) HTTP:URL=https://doi.org/10.1007/978-3-642-61970-0 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783642619700 |
|
電子リソース |
|
EB00232802 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA252-252.5 DC23:512.48 |
書誌ID | 4000110146 |
ISBN | 9783642619700 |
類似資料
この資料の利用統計
このページへのアクセス回数:7回
※2017年9月4日以降