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 : Imprint: Springer, 2017.
• Edition: 2nd ed. 2017.
• Series: Encyclopaedia of Mathematical Sciences, 136.3
• 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, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations. The author provides a...

Table of Contents:

• Introduction
• 1 First Principles
• 2 Further Properties of LNDs
• 3 Polynomial Rings
• 4 Dimension Two
• 5 Dimension Three
• 6 Linear Actions of Unipotent Groups
• 7 Non-Finitely Generated Kernels
• 8 Algorithms
• 9 Makar-Limanov and Derksen Invariants
• 10 Slices, Embeddings and Cancellation
• 11 Epilogue
• References
• Index.