The Lefschetz properties
 Author/Creator
 Harima, Tadahito, author.
 Language
 English.
 Publication
 Heidelberg ; New York : Springer, [2013]
 Copyright notice
 ©2013
 Physical description
 xix, 250 pages : illustrations ; 24 cm.
 Series
 Lecture notes in mathematics (SpringerVerlag) 2080.
Access
Available online

Stacks

Unknown
QA3 .L28 V.2080

Unknown
QA3 .L28 V.2080
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Contributors
 Contributor
 Maeno, Toshiaki, author.
 Morita, Hideaki, author.
 Numata, Yasuhide, author.
 Wachi, Akihito, author.
 Watanabe, Junzo, author.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 239246) and index.
 Contents

 Introduction and Historical Note. 1. Poset Theory. 2. Basics on the Theory of Local Rings. 3. Lefschetz Properties. 4. Compete Intersections with the SLP. 5. A Generalization of Lefschetz Elements. 6. kLefschetz Properties. 7. Cohomology Rings. 8. Invariant Theory and Lefschetz Property. 9. The Strong Lefschetz Property and the SchurWeyl Duality.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 SchurWeyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Tadahito Harima, Toshiaki Maeno, Hideaki Morita, Yasuhide Numata, Akihito Wachi, Junzo Watanabe.
 Series
 Lecture notes in mathematics, 00758434 ; 2080
 Note
 Also issued online.
 ISBN
 9783642382055
 3642382053
 9783642382062
 3642382061