Algebraic Theory of Locally Nilpotent Derivations
- Author
- Gene Freudenburg
- Publication Year
- 2006
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Mathematics and Statistics
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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 treatment of the subject, beginning with 16 First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler’s Theorem for the plane, right up to the most recent results, such as Makar-Limanov’s Theorem for locally nilpotent derivations of polynomial rings.
Keywords: Mathematics and Statistics / Dimension / Additive group action on affine varieties /algebra / Algebraic geometry / Commutative algebra / Invariant theory / Locally nilpotent derivation
