| 书目名称 | Fundamentals of Hopf Algebras | | 编辑 | Robert G. Underwood | | 视频video | | | 概述 | Includes exercises at the end of each chapter designed to reinforce the material.Covers topics not typically included in a standard abstract algebra course, including group rings, localizations, absol | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras and Hopf algebras. The last chapter (Chapter 4) discusses several applications of Hopf algebras, some of which are further developed in the author’s 2011 publication, .An Introduction to Hopf Algebras.. The book may be used as the main text or as a supplementary text for a graduate algebra course. Prerequisites for this text include standard material on groups, rings, modules, algebraic extension fields, finite fields and linearly recursive sequences..The book consists of four chapters. Chapter 1 introduces algebras and coalgebras over a field .K.; Chapter 2 treats bialgebras; Chapter 3 discusses Hopf algebras and Chapter 4 consists of three applications of Hopf algebras. Each chapter begins with a short overview and ends with a collection of exercises which are designed to review and reinforce the material. Exercises range from straightforward applications of the theory to problems that are devised to challenge the reader. Questions for further study are provided after selected exercises. Most proofs are given in det | | 出版日期 | Textbook 2015 | | 关键词 | Galois module theory; Hopf algebras; bialgebras; coalgebras; finite fields; knot theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-18991-8 | | isbn_softcover | 978-3-319-18990-1 | | isbn_ebook | 978-3-319-18991-8Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer International Publishing Switzerland 2015 |
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发表于 2025-3-21 16:53:15
