The Lefschetz Properties

• Κύριοι συγγραφείς: Harima, Tadahito (Συγγραφέας), Maeno, Toshiaki (Συγγραφέας), Morita, Hideaki (Συγγραφέας), Numata, Yasuhide (Συγγραφέας), Wachi, Akihito (Συγγραφέας), Watanabe, Junzo (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Lecture Notes in Mathematics, 2080
• Θέματα: Mathematics.; Algebra.; Algebraic geometry.; Combinatorics.; Algebraic Geometry.

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 las...

Πίνακας περιεχομένων:

• 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. k-Lefschetz Properties
• 7. Cohomology Rings
• 8.  Invariant Theory and Lefschetz Property
• 9. The Strong Lefschetz Property and the Schur–Weyl Duality.  .