| 书目名称 | Classical Hopf Algebras and Their Applications |
| 编辑 | Pierre Cartier,Frédéric Patras |
| 视频video | http://file.papertrans.cn/228/227077/227077.mp4 |
| 概述 | Offers a modern and systematic treatment of the classical structure theory of Hopf algebras.Covers the general theory and a wide range of classical and recent applications.Written by one of the founde |
| 丛书名称 | Algebra and Applications |
| 图书封面 |  |
| 描述 | This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works of Borel, Cartier, Hopf and others in the 1940s and 50s..The modern and systematic treatment uses the approach of natural operations, illuminating the structure of Hopf algebras by means of their endomorphisms and their combinatorics. Emphasizing notions such as pseudo-coproducts, characteristic endomorphisms, descent algebras and Lie idempotents, the text also covers the important case of enveloping algebras of pre-Lie algebras. A wide range of applications are surveyed, highlighting the main ideas and fundamental results..Suitable as a textbook for masters or doctoral level programs, this book will be of interest to algebraists and anyone working in one of the fields of application of Hopf algebras.. |
| 出版日期 | Book 2021 |
| 关键词 | Hopf algebras; descent gebra; Lie idempotents; pre-Lie algebras; group theory; algebraic topology; renorma |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-77845-3 |
| isbn_softcover | 978-3-030-77847-7 |
| isbn_ebook | 978-3-030-77845-3Series ISSN 1572-5553 Series E-ISSN 2192-2950 |
| issn_series | 1572-5553 |
| copyright | Springer Nature Switzerland AG 2021 |
|Archiver|手机版|小黑屋|
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