Mendeley出力
＜図書＞
Noncommutative geometry and Cayley-smooth orders
| 責任表示 | Lieven Le Bruyn |
|---|---|
| シリーズ | Monographs and textbooks in pure and applied mathematics ; 290 |
| データ種別 | 図書 |
| 出版情報 | Boca Raton : Chapman & Hall/CRC , c2008 |
| 本文言語 | 英語 |
| 大きさ | lxiii, 524 p. : ill. ; 25 cm |
| 概要 | Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. In particular, the book describes the etale l...cal structure of such orders as well as their central singularities and finite dimensional representations. After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the book presents the invariant theoretic description of orders and their centers. It proceeds to introduce etale topology and its use in noncommutative algebra as well as to collect the necessary material on representations of quivers. The subsequent chapters explain the etale local structure of a Cayley-smooth order in a semisimple representation, classify the associated central singularity to smooth equivalence, describe the nullcone of these marked quiver representations, and relate them to the study of all isomorphism classes of n-dimensional representations of a Cayley-smooth order. The final chapters study Quillen-smooth algebras via their finite dimensional representations.続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | LEBR/10/1 | 2008 |
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023212007004486 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. 505-513) and index |
|---|---|
| 著者標目 | Le Bruyn, Lieven, 1958- |
| 件 名 | LCSH:Noncommutative differential geometry LCSH:Cayley-Hamilton theorem |
| 分 類 | LCC:QC20.7.D52 DC22:512/.55 |
| 書誌ID | 1001237362 |
| ISBN | 9781420064223 |
| NCID | BA83175832 |
| 巻冊次 | ISBN:9781420064223 ; XISBN:1420064223 |
| 登録日 | 2009.09.18 |
| 更新日 | 2009.11.02 |