| 书目名称 | The Lefschetz Properties | | 编辑 | Tadahito Harima,Toshiaki Maeno,Junzo Watanabe | | 视频video | | | 概述 | This is the first book on the theory of Lefschetz properties.This is the first attempt to treat the theory of Lefschetz properties systematically.This book shows a wide connection of the Lefschetz pro | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically. | | 出版日期 | Book 2013 | | 关键词 | 13-02, 13A02, 13A50, 06A07, 06A11,14M15,14F99, 14M10, 14L30; Dilworth number; Schur-Weyl duality; grade | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-38206-2 | | isbn_softcover | 978-3-642-38205-5 | | isbn_ebook | 978-3-642-38206-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2013 |
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发表于 2025-3-21 18:43:42
