<図書>
Hopf algebras
責任表示 | Eiichi Abe ; translated by Hisae Kinoshita and Hiroko Tanaka |
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シリーズ | Cambridge tracts in mathematics ; 74 |
データ種別 | 図書 |
出版者 | Cambridge, [Eng] ; New York : Cambridge University Press |
出版年 | 1980 |
本文言語 | 英語 |
大きさ | xii, 284 p. ; 23 cm |
概要 | The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Li... groups, algebraic groups and Galois theory. This book is an introduction to the basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and commutative algebra. After introducing and discussing the basic properties of coalgebras, bialgebras and Hopf algebras, the author treats the fundamental structure theorem of bi-modules and Sullivan's proof of the existence and uniqueness of integrals of Hopf algebras. This book will interest graduate students and research workers who specialise in algebra. The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Lie groups, algebraic groups and Galois theory. This book is an introduction to the basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and commutative algebra. After introducing and discussing the basic properties of coalgebras, bialgebras and Hopf algebras, the author treats the fundamental structure theorem of bi-modules and Sullivan's proof of the existence and uniqueness of integrals of Hopf algebras. This book will interest graduate students and research workers who specialise in algebra. 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 | ABE,/10/1 | 1980 |
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068222480063632 |
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理系図 自動書庫 | 102/ABE | 1980 |
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027232003156974 |
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書誌詳細
別書名 | 原タイトル:Hoppu daisū |
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一般注記 | Translation of Hoppu daisū Includes bibliographical references and index |
著者標目 | *阿部, 英一(1927-) <アベ, エイイチ> |
件 名 | LCSH:Hopf algebras NDLSH:ホップ代数 |
分 類 | LCC:QA613.8 DC:512/.55 NDC8:411.68 |
書誌ID | 1000132744 |
ISBN | 0521222400 |
NCID | BA00662235 |
巻冊次 | ISBN:0521222400 : pbk ; ISBN:0521604893 |
登録日 | 2009.09.10 |
更新日 | 2009.09.17 |