Algebraic Theory of Locally Nilpotent Derivations

• Main Author: Freudenburg, Gene (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Encyclopaedia of Mathematical Sciences, Invariant Theory and Algebraic Transformation Groups VII, 136
• Subjects: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Topological groups.; Lie groups.; Commutative Rings and Algebras.; Algebraic Geometry.; Topological Groups, Lie Groups.

This book explores the theory and application of locally nilpotent derivations, which is a subject of growing interest and importance not only among those in commutative algebra and algebraic geometry, but also in fields such as Lie algebras and differential equations. The author provides a unified...

Table of Contents:

• First Principles
• Further Properties of Locally Nilpotent Derivations
• Polynomial Rings
• Dimension Two
• Dimension Three
• Linear Actions of Unipotent Groups
• Non-Finitely Generated Kernels
• Algorithms
• The Makar-Limanov and Derksen Invariants
• Slices, Embeddings and Cancellation
• Epilogue.