The Resource The Lefschetz properties, Tadahito Harima [and others]
The Lefschetz properties, Tadahito Harima [and others]
Resource Information
The item The Lefschetz properties, Tadahito Harima [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The Lefschetz properties, Tadahito Harima [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (xix, 250 pages)
 Contents

 The Strong Lefschetz Property and the SchurWeyl Duality
 Poset Theory
 Basics on the Theory of Local Rings
 Lefschetz Properties
 Complete Intersections with the SLP
 A Generalization of Lefschetz Elements
 kLefschetz Properties
 Cohomology Rings and the Strong Lefschetz Property
 Invariant Theory and Lefschetz Properties
 Isbn
 9783642382062
 Label
 The Lefschetz properties
 Title
 The Lefschetz properties
 Statement of responsibility
 Tadahito Harima [and others]
 Language
 eng
 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
 Cataloging source
 HNK
 Dewey number
 516.3/5
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA564
 LC item number
 .L435 2013eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Harima, Tadahito
 Series statement
 Lecture notes in mathematics,
 Series volume
 2080
 http://library.link/vocab/subjectName

 Geometry, Algebraic
 Local rings
 Artin rings
 Artin rings
 Geometry, Algebraic
 Local rings
 Artinsche Algebra
 LefschetzFixpunktsatz
 Label
 The Lefschetz properties, Tadahito Harima [and others]
 Bibliography note
 Includes bibliographical references (pages 239246) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 The Strong Lefschetz Property and the SchurWeyl Duality
 Poset Theory
 Basics on the Theory of Local Rings
 Lefschetz Properties
 Complete Intersections with the SLP
 A Generalization of Lefschetz Elements
 kLefschetz Properties
 Cohomology Rings and the Strong Lefschetz Property
 Invariant Theory and Lefschetz Properties
 Control code
 856979772
 Dimensions
 unknown
 Extent
 1 online resource (xix, 250 pages)
 Form of item
 online
 Isbn
 9783642382062
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642382062
 Other physical details
 illustrations.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)856979772
 Label
 The Lefschetz properties, Tadahito Harima [and others]
 Bibliography note
 Includes bibliographical references (pages 239246) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 The Strong Lefschetz Property and the SchurWeyl Duality
 Poset Theory
 Basics on the Theory of Local Rings
 Lefschetz Properties
 Complete Intersections with the SLP
 A Generalization of Lefschetz Elements
 kLefschetz Properties
 Cohomology Rings and the Strong Lefschetz Property
 Invariant Theory and Lefschetz Properties
 Control code
 856979772
 Dimensions
 unknown
 Extent
 1 online resource (xix, 250 pages)
 Form of item
 online
 Isbn
 9783642382062
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642382062
 Other physical details
 illustrations.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)856979772
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