| 书目名称 | Poisson Structures | | 编辑 | Camille Laurent-Gengoux,Anne Pichereau,Pol Vanhaec | | 视频video | | | 概述 | First book about Poisson structures giving a comprehensive introduction as well as solid foundations to the theory.Unique structure of the volume tailored to graduate students or advanced researchers. | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 描述 | Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstract algebra, algebraic geometry and representation theory. In each one of these contexts, it turns out that the Poisson structure is not a theoretical artifact, but a key element which, unsolicited, comes along with the problem that is investigated, and its delicate properties are decisive for the solution to the problem in nearly all cases. Poisson Structures is the first book that offers a comprehensive introduction to the theory, as well as an overview of the different aspects of Poisson structures. The first part covers solid foundations, the central part consists of a detailed exposition of the different known types of Poisson structures and of the (usually mathematical) contexts in which they appear, and the final part is devoted to the two main applications of Poisson structures (integrable systems and deformation quantization). The clear structure of the book makes it adequate for readers who come across Poisson structures in their research or for graduate students or advanced researchers who are interested in an introduction to | | 出版日期 | Book 2013 | | 关键词 | 17B63, 53D17, 17B80, 53D55, 17B62; Poisson Algebras; Poisson geometry; Poisson structures; deformation q | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-31090-4 | | isbn_softcover | 978-3-642-43283-5 | | isbn_ebook | 978-3-642-31090-4Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag Berlin Heidelberg 2013 |
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发表于 2025-3-21 20:08:18
