Authors:
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 properties to other areas of mathematics
So, Researchers from various area of mathematics should be interested in this book
This book contains many open problems
Some new results are contained (Some of them may appear as papers elsewhere. Some of them may not.)
Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2080)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- 13-02, 13A02, 13A50, 06A07, 06A11,14M15,14F99, 14M10, 14L30
- Dilworth number
- Schur-Weyl duality
- graded Artinian rings
- weak and strong Lefschetz propeties
- combinatorics
Authors and Affiliations
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Department of Mathematical Education, Niigata University, Nishi-Ku, Japan
Tadahito Harima
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Meijo University Department of Mathematics, Nagoya, Japan
Toshiaki Maeno
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Muroran Institute of Technology, Muroran, Japan
Hideaki Morita
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Department of Mathematical Sciences, Shinshu University, Matsumoto, Japan
Yasuhide Numata
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Hokkaido University of Education Department of Mathematics, Kushiro, Japan
Akihito Wachi
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Tokai University Department of Mathematics, Hiratsuka, Japan
Junzo Watanabe
Bibliographic Information
Book Title: The Lefschetz Properties
Authors: Tadahito Harima, Toshiaki Maeno, Hideaki Morita, Yasuhide Numata, Akihito Wachi, Junzo Watanabe
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-38206-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Softcover ISBN: 978-3-642-38205-5Published: 30 August 2013
eBook ISBN: 978-3-642-38206-2Published: 23 August 2013
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIX, 250
Number of Illustrations: 20 b/w illustrations
Topics: Algebra, Algebraic Geometry, Discrete Mathematics